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BT 34.016 511.860 Td /F1 30.0 Tf [(Topology 2nd Edition By James Munkres Solutions)] TJ ET
BT 34.016 454.782 Td /F1 15.0 Tf [(Getting the books )] TJ ET
BT 155.756 454.782 Td /F1 15.0 Tf [(Topology 2nd Edition By James Munkres Solutions)] TJ ET
BT 494.231 454.782 Td /F1 15.0 Tf [( now is not type of inspiring means. You could )] TJ ET
BT 34.016 436.467 Td /F1 15.0 Tf [(not lonely going gone books amassing or library or borrowing from your links to log on them. This is an very easy )] TJ ET
BT 34.016 418.152 Td /F1 15.0 Tf [(means to specifically acquire guide by on-line. This online declaration Topology 2nd Edition By James Munkres )] TJ ET
BT 34.016 399.837 Td /F1 15.0 Tf [(Solutions can be one of the options to accompany you taking into consideration having additional time.)] TJ ET
BT 34.016 363.522 Td /F1 15.0 Tf [(It will not waste your time. take me, the e-book will entirely impression you extra business to read. Just invest tiny )] TJ ET
BT 34.016 345.207 Td /F1 15.0 Tf [(epoch to contact this on-line publication )] TJ ET
BT 300.821 345.207 Td /F1 15.0 Tf [(Topology 2nd Edition By James Munkres Solutions)] TJ ET
BT 639.296 345.207 Td /F1 15.0 Tf [( as with ease as )] TJ ET
BT 34.016 326.892 Td /F1 15.0 Tf [(evaluation them wherever you are now.)] TJ ET
BT 34.016 260.577 Td /F1 15.0 Tf [(Topology Now!)] TJ ET
BT 134.051 260.577 Td /F1 15.0 Tf [( Robert Messer 2018-10-10 Topology is a branch of mathematics packed with intriguing concepts, )] TJ ET
BT 34.016 242.262 Td /F1 15.0 Tf [(fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to )] TJ ET
BT 34.016 223.947 Td /F1 15.0 Tf [(make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level )] TJ ET
BT 34.016 205.632 Td /F1 15.0 Tf [(mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so )] TJ ET
BT 34.016 187.317 Td /F1 15.0 Tf [(students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points )] TJ ET
BT 34.016 169.002 Td /F1 15.0 Tf [(and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book )] TJ ET
BT 34.016 150.687 Td /F1 15.0 Tf [(when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that )] TJ ET
BT 34.016 132.372 Td /F1 15.0 Tf [(have come before. This organization exposes students to the exciting world of topology now\(!\) rather than later. )] TJ ET
BT 34.016 114.057 Td /F1 15.0 Tf [(Students using this textbook should have some exposure to the geometry of objects in higher-dimensional )] TJ ET
BT 34.016 95.742 Td /F1 15.0 Tf [(Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.)] TJ ET
BT 34.016 77.427 Td /F1 15.0 Tf [(Mathematics of the USSR: Izvestija)] TJ ET
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BT 269.096 77.427 Td /F1 15.0 Tf [( 1989 )] TJ ET
BT 34.016 59.112 Td /F1 15.0 Tf [(A Concise Course in Algebraic Topology)] TJ ET
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34.016 56.637 m 303.281 56.637 l S
BT 303.281 59.112 Td /F1 15.0 Tf [( J. P. May 1999-09 Algebraic topology is a basic part of modern )] TJ ET
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BT 34.016 546.612 Td /F1 15.0 Tf [(mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, )] TJ ET
BT 34.016 528.297 Td /F1 15.0 Tf [(including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics )] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous )] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(internal developments within algebraic topology over the past several decades, most of which are largely unknown )] TJ ET
BT 34.016 455.037 Td /F1 15.0 Tf [(to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. )] TJ ET
BT 34.016 436.722 Td /F1 15.0 Tf [(Most chapters end with problems that further explore and refine the concepts presented. The final four chapters )] TJ ET
BT 34.016 418.407 Td /F1 15.0 Tf [(provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the )] TJ ET
BT 34.016 400.092 Td /F1 15.0 Tf [(book concludes with a list of suggested readings for those interested in delving further into the field.)] TJ ET
BT 34.016 381.777 Td /F1 15.0 Tf [(Introduction to Topology)] TJ ET
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34.016 379.302 m 194.936 379.302 l S
BT 194.936 381.777 Td /F1 15.0 Tf [( Theodore W. Gamelin 2013-04-22 This text explains nontrivial applications of metric space )] TJ ET
BT 34.016 363.462 Td /F1 15.0 Tf [(topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected )] TJ ET
BT 34.016 345.147 Td /F1 15.0 Tf [(answers, and 51 illustrations. 1983 edition.)] TJ ET
BT 34.016 326.832 Td /F1 15.0 Tf [(Functional Analysis, Sobolev Spaces and Partial Differential Equations)] TJ ET
0.3 w 0 J [ ] 0 d
34.016 324.357 m 502.556 324.357 l S
BT 502.556 326.832 Td /F1 15.0 Tf [( Haim Brezis 2010-11-02 This textbook is a )] TJ ET
BT 34.016 308.517 Td /F1 15.0 Tf [(completely revised, updated, and expanded English edition of the important Analyse fonctionnelle \(1983\). In )] TJ ET
BT 34.016 290.202 Td /F1 15.0 Tf [(addition, it contains a wealth of problems and exercises \(with solutions\) to guide the reader. Uniquely, this book )] TJ ET
BT 34.016 271.887 Td /F1 15.0 Tf [(presents in a coherent, concise and unified way the main results from functional analysis together with the main )] TJ ET
BT 34.016 253.572 Td /F1 15.0 Tf [(results from the theory of partial differential equations \(PDEs\). Although there are many books on functional )] TJ ET
BT 34.016 235.257 Td /F1 15.0 Tf [(analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book )] TJ ET
BT 34.016 216.942 Td /F1 15.0 Tf [(was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. )] TJ ET
BT 34.016 198.627 Td /F1 15.0 Tf [(The English edition makes a welcome addition to this list.)] TJ ET
BT 34.016 180.312 Td /F1 15.0 Tf [(Real Mathematical Analysis)] TJ ET
BT 218.231 180.312 Td /F1 15.0 Tf [( Charles Chapman Pugh 2013-03-19 Was plane geometry your favourite math course in )] TJ ET
BT 34.016 161.997 Td /F1 15.0 Tf [(high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your )] TJ ET
BT 34.016 143.682 Td /F1 15.0 Tf [(cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications )] TJ ET
BT 34.016 125.367 Td /F1 15.0 Tf [(to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. )] TJ ET
BT 34.016 107.052 Td /F1 15.0 Tf [(In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the )] TJ ET
BT 34.016 88.737 Td /F1 15.0 Tf [(subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and )] TJ ET
BT 34.016 70.422 Td /F1 15.0 Tf [(relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, )] TJ ET
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BT 34.016 546.612 Td /F1 15.0 Tf [(Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this )] TJ ET
BT 34.016 528.297 Td /F1 15.0 Tf [(book is based on the honours version of this course. The book contains an excellent selection of more than 500 )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(exercises.)] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(Basic Category Theory)] TJ ET
BT 186.566 491.667 Td /F1 15.0 Tf [( Tom Leinster 2014-07-24 A short introduction ideal for students learning category theory for )] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(the first time.)] TJ ET
BT 34.016 455.037 Td /F1 15.0 Tf [(Basic Topology)] TJ ET
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34.016 452.562 m 136.556 452.562 l S
BT 136.556 455.037 Td /F1 15.0 Tf [( M.A. Armstrong 2013-04-09 In this broad introduction to topology, the author searches for )] TJ ET
BT 34.016 436.722 Td /F1 15.0 Tf [(topological invariants of spaces, together with techniques for their calculating. Students with knowledge of real )] TJ ET
BT 34.016 418.407 Td /F1 15.0 Tf [(analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques )] TJ ET
BT 34.016 400.092 Td /F1 15.0 Tf [(and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 )] TJ ET
BT 34.016 381.777 Td /F1 15.0 Tf [(problems of various difficulties help students gain a thorough understanding of the subject.)] TJ ET
BT 34.016 363.462 Td /F1 15.0 Tf [(Development of Miniature Climbing Robots)] TJ ET
0.3 w 0 J [ ] 0 d
34.016 360.987 m 319.106 360.987 l S
BT 319.106 363.462 Td /F1 15.0 Tf [( Jizhong Xiao 2002 )] TJ ET
BT 34.016 345.147 Td /F1 15.0 Tf [(An Introduction to Manifolds)] TJ ET
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34.016 342.672 m 219.941 342.672 l S
BT 219.941 345.147 Td /F1 15.0 Tf [( Loring W. Tu 2010-10-05 Manifolds, the higher-dimensional analogs of smooth curves )] TJ ET
BT 34.016 326.832 Td /F1 15.0 Tf [(and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and )] TJ ET
BT 34.016 308.517 Td /F1 15.0 Tf [(analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In )] TJ ET
BT 34.016 290.202 Td /F1 15.0 Tf [(this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader )] TJ ET
BT 34.016 271.887 Td /F1 15.0 Tf [(achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at )] TJ ET
BT 34.016 253.572 Td /F1 15.0 Tf [(least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along )] TJ ET
BT 34.016 235.257 Td /F1 15.0 Tf [(the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The )] TJ ET
BT 34.016 216.942 Td /F1 15.0 Tf [(requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real )] TJ ET
BT 34.016 198.627 Td /F1 15.0 Tf [(analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may )] TJ ET
BT 34.016 180.312 Td /F1 15.0 Tf [(be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students )] TJ ET
BT 34.016 161.997 Td /F1 15.0 Tf [(engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an )] TJ ET
BT 34.016 143.682 Td /F1 15.0 Tf [(excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.)] TJ ET
BT 34.016 125.367 Td /F1 15.0 Tf [(Analysis On Manifolds)] TJ ET
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34.016 122.892 m 182.396 122.892 l S
BT 182.396 125.367 Td /F1 15.0 Tf [( James R. Munkres 2018-02-19 A readable introduction to the subject of calculus on arbitrary )] TJ ET
BT 34.016 107.052 Td /F1 15.0 Tf [(surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include )] TJ ET
BT 34.016 88.737 Td /F1 15.0 Tf [(series of problems to reinforce concepts.)] TJ ET
BT 34.016 70.422 Td /F1 15.0 Tf [(Elementary Differential Topology)] TJ ET
BT 251.591 70.422 Td /F1 15.0 Tf [( James R. Munkres 1966 Annotation The Description for this book, Elementary )] TJ ET
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BT 34.016 546.612 Td /F1 15.0 Tf [(Differential Topology. \(AM-54\), will be forthcoming.)] TJ ET
BT 34.016 528.297 Td /F1 15.0 Tf [(Office Hours with a Geometric Group Theorist)] TJ ET
BT 338.276 528.297 Td /F1 15.0 Tf [( Matt Clay 2017-07-11 Geometric group theory is the study of the )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, )] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts )] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like )] TJ ET
BT 34.016 455.037 Td /F1 15.0 Tf [(having office hours with your most trusted math professors. An essential primer for undergraduates making the leap )] TJ ET
BT 34.016 436.722 Td /F1 15.0 Tf [(to graduate work, the book begins with free groups—actions of free groups on trees, algorithmic questions about )] TJ ET
BT 34.016 418.407 Td /F1 15.0 Tf [(free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale )] TJ ET
BT 34.016 400.092 Td /F1 15.0 Tf [(geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and )] TJ ET
BT 34.016 381.777 Td /F1 15.0 Tf [(asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's )] TJ ET
BT 34.016 363.462 Td /F1 15.0 Tf [(groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is )] TJ ET
BT 34.016 345.147 Td /F1 15.0 Tf [(conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first )] TJ ET
BT 34.016 326.832 Td /F1 15.0 Tf [(course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-)] TJ ET
BT 34.016 308.517 Td /F1 15.0 Tf [(depth projects designed to engage readers and provide jumping-off points for research projects.)] TJ ET
BT 34.016 290.202 Td /F1 15.0 Tf [(A First Course in Topology)] TJ ET
BT 211.571 290.202 Td /F1 15.0 Tf [( John McCleary 2006 How many dimensions does our universe require for a )] TJ ET
BT 34.016 271.887 Td /F1 15.0 Tf [(comprehensive physical description? In 1905, Poincare argued philosophically about the necessity of the three )] TJ ET
BT 34.016 253.572 Td /F1 15.0 Tf [(familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of )] TJ ET
BT 34.016 235.257 Td /F1 15.0 Tf [(dimension itself presented a basic problem to the pioneers of topology. Cantor asked if dimension was a topological )] TJ ET
BT 34.016 216.942 Td /F1 15.0 Tf [(feature of Euclidean space. To answer this question, some important topological ideas were introduced by Brouwer, )] TJ ET
BT 34.016 198.627 Td /F1 15.0 Tf [(giving shape to a subject whose development dominated the twentieth century. The basic notions in topology are )] TJ ET
BT 34.016 180.312 Td /F1 15.0 Tf [(varied and a comprehensive grounding in point-set topology, the definition and use of the fundamental group, and )] TJ ET
BT 34.016 161.997 Td /F1 15.0 Tf [(the beginnings of homology theory requires considerable time. The goal of this book is a focused introduction )] TJ ET
BT 34.016 143.682 Td /F1 15.0 Tf [(through these classical topics, aiming throughout at the classical result of the Invariance of Dimension. This text is )] TJ ET
BT 34.016 125.367 Td /F1 15.0 Tf [(based on the author's course given at Vassar College and is intended for advanced undergraduate students. It is )] TJ ET
BT 34.016 107.052 Td /F1 15.0 Tf [(suitable for a semester-long course on topology for students who have studied real analysis and linear algebra. It is )] TJ ET
BT 34.016 88.737 Td /F1 15.0 Tf [(also a good choice for a capstone course, senior seminar, or independent study.)] TJ ET
BT 34.016 70.422 Td /F1 15.0 Tf [(Elements of Topology)] TJ ET
BT 179.081 70.422 Td /F1 15.0 Tf [( Tej Bahadur Singh 2013-05-20 Topology is a large subject with many branches broadly )] TJ ET
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BT 34.016 546.612 Td /F1 15.0 Tf [(categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main )] TJ ET
BT 34.016 528.297 Td /F1 15.0 Tf [(language for a broad variety of mathematical disciplines. Algebraic topology serves as a powerful tool for studying )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(the problems in geometry and numerous other areas of mathematics. Elements of Topology provides a basic )] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(introduction to point-set topology and algebraic topology. It is intended for advanced undergraduate and beginning )] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(graduate students with working knowledge of analysis and algebra. Topics discussed include the theory of )] TJ ET
BT 34.016 455.037 Td /F1 15.0 Tf [(convergence, function spaces, topological transformation groups, fundamental groups, and covering spaces. The )] TJ ET
BT 34.016 436.722 Td /F1 15.0 Tf [(author makes the subject accessible by providing more than 250 worked examples and counterexamples with )] TJ ET
BT 34.016 418.407 Td /F1 15.0 Tf [(applications. The text also includes numerous end-of-section exercises to put the material into context.)] TJ ET
BT 34.016 400.092 Td /F1 15.0 Tf [(Elements Of Algebraic Topology)] TJ ET
BT 249.101 400.092 Td /F1 15.0 Tf [( James R. Munkres 2018-03-05 Elements of Algebraic Topology provides the most )] TJ ET
BT 34.016 381.777 Td /F1 15.0 Tf [(concrete approach to the subject. With coverage of homology and cohomology theory, universal coefficient )] TJ ET
BT 34.016 363.462 Td /F1 15.0 Tf [(theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this )] TJ ET
BT 34.016 345.147 Td /F1 15.0 Tf [(book is perfect for comunicating complex topics and the fun nature of algebraic topology for beginners.)] TJ ET
BT 34.016 326.832 Td /F1 15.0 Tf [(Set Theory and Metric Spaces)] TJ ET
BT 235.766 326.832 Td /F1 15.0 Tf [( Irving Kaplansky 2020-09-10 This is a book that could profitably be read by many )] TJ ET
BT 34.016 308.517 Td /F1 15.0 Tf [(graduate students or by seniors in strong major programs … has a number of good features. There are many )] TJ ET
BT 34.016 290.202 Td /F1 15.0 Tf [(informal comments scattered between the formal development of theorems and these are done in a light and )] TJ ET
BT 34.016 271.887 Td /F1 15.0 Tf [(pleasant style. … There is a complete proof of the equivalence of the axiom of choice, Zorn's Lemma, and well-)] TJ ET
BT 34.016 253.572 Td /F1 15.0 Tf [(ordering, as well as a discussion of the use of these concepts. There is also an interesting discussion of the )] TJ ET
BT 34.016 235.257 Td /F1 15.0 Tf [(continuum problem … The presentation of metric spaces before topological spaces … should be welcomed by most )] TJ ET
BT 34.016 216.942 Td /F1 15.0 Tf [(students, since metric spaces are much closer to the ideas of Euclidean spaces with which they are already familiar. )] TJ ET
BT 34.016 198.627 Td /F1 15.0 Tf [(—Canadian Mathematical Bulletin Kaplansky has a well-deserved reputation for his expository talents. The )] TJ ET
BT 34.016 180.312 Td /F1 15.0 Tf [(selection of topics is excellent. — Lance Small, UC San Diego This book is based on notes from a course on set )] TJ ET
BT 34.016 161.997 Td /F1 15.0 Tf [(theory and metric spaces taught by Edwin Spanier, and also incorporates with his permission numerous exercises )] TJ ET
BT 34.016 143.682 Td /F1 15.0 Tf [(from those notes. The volume includes an Appendix that helps bridge the gap between metric and topological )] TJ ET
BT 34.016 125.367 Td /F1 15.0 Tf [(spaces, a Selected Bibliography, and an Index.)] TJ ET
BT 34.016 107.052 Td /F1 15.0 Tf [(Topology)] TJ ET
BT 95.711 107.052 Td /F1 15.0 Tf [( James Munkres 2013-07-24 For a senior undergraduate or first year graduate-level course in Introduction )] TJ ET
BT 34.016 88.737 Td /F1 15.0 Tf [(to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses )] TJ ET
BT 34.016 70.422 Td /F1 15.0 Tf [(treating each topic separately. This text is designed to provide instructors with a convenient single text resource for )] TJ ET
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BT 34.016 546.612 Td /F1 15.0 Tf [(bridging between general and algebraic topology courses. Two separate, distinct sections \(one on general, point set )] TJ ET
BT 34.016 528.297 Td /F1 15.0 Tf [(topology, the other on algebraic topology\) are each suitable for a one-semester course and are based around the )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(same set of basic, core topics. Optional, independent topics and applications can be studied and developed in )] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(depth depending on course needs and preferences.)] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(Differential Topology)] TJ ET
0.3 w 0 J [ ] 0 d
34.016 470.877 m 171.566 470.877 l S
BT 171.566 473.352 Td /F1 15.0 Tf [( Morris W. Hirsch 2012-12-06 "A very valuable book. In little over 200 pages, it presents a well-)] TJ ET
BT 34.016 455.037 Td /F1 15.0 Tf [(organized and surprisingly comprehensive treatment of most of the basic material in differential topology, as far as )] TJ ET
BT 34.016 436.722 Td /F1 15.0 Tf [(is accessible without the methods of algebraic topology....There is an abundance of exercises, which supply many )] TJ ET
BT 34.016 418.407 Td /F1 15.0 Tf [(beautiful examples and much interesting additional information, and help the reader to become thoroughly familiar )] TJ ET
BT 34.016 400.092 Td /F1 15.0 Tf [(with the material of the main text." —MATHEMATICAL REVIEWS)] TJ ET
BT 34.016 381.777 Td /F1 15.0 Tf [(Introductory Topology)] TJ ET
BT 179.081 381.777 Td /F1 15.0 Tf [( Mohammed Hichem Mortad The book offers a good introduction to topology through solved )] TJ ET
BT 34.016 363.462 Td /F1 15.0 Tf [(exercises. It is mainly intended for undergraduate students. Most exercises are given with detailed solutions. In the )] TJ ET
BT 34.016 345.147 Td /F1 15.0 Tf [(second edition, some significant changes have been made, other than the additional exercises. There are also )] TJ ET
BT 34.016 326.832 Td /F1 15.0 Tf [(additional proofs \(as exercises\) of many results in the old section "What You Need To Know", which has been )] TJ ET
BT 34.016 308.517 Td /F1 15.0 Tf [(improved and renamed in the new edition as "Essential Background". Indeed, it has been considerably beefed up )] TJ ET
BT 34.016 290.202 Td /F1 15.0 Tf [(as it now includes more remarks and results for readers' convenience. The interesting sections "True or False" and )] TJ ET
BT 34.016 271.887 Td /F1 15.0 Tf [("Tests" have remained as they were, apart from a very few changes.)] TJ ET
BT 34.016 253.572 Td /F1 15.0 Tf [(Introduction to Topological Manifolds)] TJ ET
BT 278.291 253.572 Td /F1 15.0 Tf [( John M. Lee 2006-04-06 Manifolds play an important role in topology, )] TJ ET
BT 34.016 235.257 Td /F1 15.0 Tf [(geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other )] TJ ET
BT 34.016 216.942 Td /F1 15.0 Tf [(introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers )] TJ ET
BT 34.016 198.627 Td /F1 15.0 Tf [(by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the )] TJ ET
BT 34.016 180.312 Td /F1 15.0 Tf [(basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.)] TJ ET
BT 34.016 161.997 Td /F1 15.0 Tf [(Mathematics of the USSR.)] TJ ET
BT 210.746 161.997 Td /F1 15.0 Tf [( 1989 )] TJ ET
BT 34.016 143.682 Td /F1 15.0 Tf [(General Topology)] TJ ET
BT 153.236 143.682 Td /F1 15.0 Tf [( Stephen Willard 2012-07-12 Among the best available reference introductions to general )] TJ ET
BT 34.016 125.367 Td /F1 15.0 Tf [(topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes )] TJ ET
BT 34.016 107.052 Td /F1 15.0 Tf [(historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.)] TJ ET
BT 34.016 88.737 Td /F1 15.0 Tf [(Calculus on Manifolds)] TJ ET
BT 180.731 88.737 Td /F1 15.0 Tf [( Michael Spivak 1965 This book uses elementary versions of modern methods found in )] TJ ET
BT 34.016 70.422 Td /F1 15.0 Tf [(sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and )] TJ ET
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BT 34.016 546.612 Td /F1 15.0 Tf [(methods makes rigor difficult to attain at an elementary level.)] TJ ET
BT 34.016 528.297 Td /F1 15.0 Tf [(Introduction to Differential Topology)] TJ ET
BT 270.791 528.297 Td /F1 15.0 Tf [( T. Bröcker 1982-09-16 This book is intended as an elementary introduction to )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic )] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many )] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students )] TJ ET
BT 34.016 455.037 Td /F1 15.0 Tf [(with some basic knowledge of analysis and topology.)] TJ ET
BT 34.016 436.722 Td /F1 15.0 Tf [(Topological Persistence in Geometry and Analysis)] TJ ET
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34.016 434.247 m 368.306 434.247 l S
BT 368.306 436.722 Td /F1 15.0 Tf [( Leonid Polterovich 2020-05-11 The theory of persistence )] TJ ET
BT 34.016 418.407 Td /F1 15.0 Tf [(modules originated in topological data analysis and became an active area of research in algebraic topology. This )] TJ ET
BT 34.016 400.092 Td /F1 15.0 Tf [(book provides a concise and self-contained introduction to persistence modules and focuses on their interactions )] TJ ET
BT 34.016 381.777 Td /F1 15.0 Tf [(with pure mathematics, bringing the reader to the cutting edge of current research. In particular, the authors present )] TJ ET
BT 34.016 363.462 Td /F1 15.0 Tf [(applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and )] TJ ET
BT 34.016 345.147 Td /F1 15.0 Tf [(embedding problems. Furthermore, they discuss topological function theory, which provides new insight into )] TJ ET
BT 34.016 326.832 Td /F1 15.0 Tf [(oscillation of functions. The book is accessible to readers with a basic background in algebraic and differential )] TJ ET
BT 34.016 308.517 Td /F1 15.0 Tf [(topology.)] TJ ET
BT 34.016 290.202 Td /F1 15.0 Tf [(Topology of Metric Spaces)] TJ ET
BT 211.586 290.202 Td /F1 15.0 Tf [( S. Kumaresan 2005 "Topology of Metric Spaces gives a very streamlined development )] TJ ET
BT 34.016 271.887 Td /F1 15.0 Tf [(of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric )] TJ ET
BT 34.016 253.572 Td /F1 15.0 Tf [(ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use )] TJ ET
BT 34.016 235.257 Td /F1 15.0 Tf [(this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis." )] TJ ET
BT 34.016 216.942 Td /F1 15.0 Tf [("Eminently suitable for self-study, this book may also be used as a supplementary text for courses in general \(or )] TJ ET
BT 34.016 198.627 Td /F1 15.0 Tf [(point-set\) topology so that students will acquire a lot of concrete examples of spaces and maps."--BOOK JACKET.)] TJ ET
BT 34.016 180.312 Td /F1 15.0 Tf [(Introduction to General Topology)] TJ ET
BT 252.461 180.312 Td /F1 15.0 Tf [( K. D. Joshi 1983 )] TJ ET
BT 34.016 161.997 Td /F1 15.0 Tf [(Foundations of Topology)] TJ ET
BT 199.106 161.997 Td /F1 15.0 Tf [( C. Wayne Patty 2009 Topology is a branch of pure mathematics that deals with the )] TJ ET
BT 34.016 143.682 Td /F1 15.0 Tf [(abstract relationships found in geometry and analysis. Written with the mature student in mind, Foundations of )] TJ ET
BT 34.016 125.367 Td /F1 15.0 Tf [(Topology, Second Edition, provides a user-friendly, clear, and concise introduction to this fascinating area of )] TJ ET
BT 34.016 107.052 Td /F1 15.0 Tf [(mathematics. The author introduces topics that are well-motivated with thorough proofs, that make them easy to )] TJ ET
BT 34.016 88.737 Td /F1 15.0 Tf [(follow. Historical comments are dispersed throughout the text, and exercises, varying in degree of difficulty, are )] TJ ET
BT 34.016 70.422 Td /F1 15.0 Tf [(found at the end of each chapter. Foundations of Topology is an excellent text for teaching students how to develop )] TJ ET
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BT 34.016 546.612 Td /F1 15.0 Tf [(the skills for writing clear and precise proofs.)] TJ ET
BT 34.016 528.297 Td /F1 15.0 Tf [(Characteristic Classes)] TJ ET
BT 183.206 528.297 Td /F1 15.0 Tf [( John Willard Milnor 1974 The theory of characteristic classes provides a meeting ground for )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle )] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the )] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, )] TJ ET
BT 34.016 455.037 Td /F1 15.0 Tf [(Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory )] TJ ET
BT 34.016 436.722 Td /F1 15.0 Tf [(and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based )] TJ ET
BT 34.016 418.407 Td /F1 15.0 Tf [(on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied )] TJ ET
BT 34.016 400.092 Td /F1 15.0 Tf [(by graduate students of topology ever since, this published version has been completely revised and corrected.)] TJ ET
BT 34.016 381.777 Td /F1 15.0 Tf [(Introduction to Topology)] TJ ET
BT 194.936 381.777 Td /F1 15.0 Tf [( Colin Conrad Adams 2008 Learn the basics of point-set topology with the understanding of )] TJ ET
BT 34.016 363.462 Td /F1 15.0 Tf [(its real-world application to a variety of other subjects including science, economics, engineering, and other areas of )] TJ ET
BT 34.016 345.147 Td /F1 15.0 Tf [(mathematics. Introduces topology as an important and fascinating mathematics discipline to retain the readers )] TJ ET
BT 34.016 326.832 Td /F1 15.0 Tf [(interest in the subject. Is written in an accessible way for readers to understand the usefulness and importance of )] TJ ET
BT 34.016 308.517 Td /F1 15.0 Tf [(the application of topology to other fields. Introduces topology concepts combined with their real-world application to )] TJ ET
BT 34.016 290.202 Td /F1 15.0 Tf [(subjects such DNA, heart stimulation, population modeling, cosmology, and computer graphics. Covers topics )] TJ ET
BT 34.016 271.887 Td /F1 15.0 Tf [(including knot theory, degree theory, dynamical systems and chaos, graph theory, metric spaces, connectedness, )] TJ ET
BT 34.016 253.572 Td /F1 15.0 Tf [(and compactness. A useful reference for readers wanting an intuitive introduction to topology.)] TJ ET
BT 34.016 235.257 Td /F1 15.0 Tf [(Distributed Computing Through Combinatorial Topology)] TJ ET
BT 404.981 235.257 Td /F1 15.0 Tf [( Maurice Herlihy 2013-11-30 Distributed Computing )] TJ ET
BT 34.016 216.942 Td /F1 15.0 Tf [(Through Combinatorial Topology describes techniques for analyzing distributed algorithms based on award winning )] TJ ET
BT 34.016 198.627 Td /F1 15.0 Tf [(combinatorial topology research. The authors present a solid theoretical foundation relevant to many real systems )] TJ ET
BT 34.016 180.312 Td /F1 15.0 Tf [(reliant on parallelism with unpredictable delays, such as multicore microprocessors, wireless networks, distributed )] TJ ET
BT 34.016 161.997 Td /F1 15.0 Tf [(systems, and Internet protocols. Today, a new student or researcher must assemble a collection of scattered )] TJ ET
BT 34.016 143.682 Td /F1 15.0 Tf [(conference publications, which are typically terse and commonly use different notations and terminologies. This )] TJ ET
BT 34.016 125.367 Td /F1 15.0 Tf [(book provides a self-contained explanation of the mathematics to readers with computer science backgrounds, as )] TJ ET
BT 34.016 107.052 Td /F1 15.0 Tf [(well as explaining computer science concepts to readers with backgrounds in applied mathematics. The first section )] TJ ET
BT 34.016 88.737 Td /F1 15.0 Tf [(presents mathematical notions and models, including message passing and shared-memory systems, failures, and )] TJ ET
BT 34.016 70.422 Td /F1 15.0 Tf [(timing models. The next section presents core concepts in two chapters each: first, proving a simple result that )] TJ ET
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BT 34.016 546.612 Td /F1 15.0 Tf [(lends itself to examples and pictures that will build up readers' intuition; then generalizing the concept to prove a )] TJ ET
BT 34.016 528.297 Td /F1 15.0 Tf [(more sophisticated result. The overall result weaves together and develops the basic concepts of the field, )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(presenting them in a gradual and intuitively appealing way. The book's final section discusses advanced topics )] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(typically found in a graduate-level course for those who wish to explore further. Named a 2013 Notable Computer )] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(Book for Computing Methodologies by Computing Reviews Gathers knowledge otherwise spread across research )] TJ ET
BT 34.016 455.037 Td /F1 15.0 Tf [(and conference papers using consistent notations and a standard approach to facilitate understanding Presents )] TJ ET
BT 34.016 436.722 Td /F1 15.0 Tf [(unique insights applicable to multiple computing fields, including multicore microprocessors, wireless networks, )] TJ ET
BT 34.016 418.407 Td /F1 15.0 Tf [(distributed systems, and Internet protocols Synthesizes and distills material into a simple, unified presentation with )] TJ ET
BT 34.016 400.092 Td /F1 15.0 Tf [(examples, illustrations, and exercises)] TJ ET
BT 34.016 381.777 Td /F1 15.0 Tf [(Algebraic Topology)] TJ ET
BT 162.401 381.777 Td /F1 15.0 Tf [( Allen Hatcher 2002 An introductory textbook suitable for use in a course or for self-study, )] TJ ET
BT 34.016 363.462 Td /F1 15.0 Tf [(featuring broad coverage of the subject and a readable exposition, with many examples and exercises.)] TJ ET
BT 34.016 345.147 Td /F1 15.0 Tf [(General Topology)] TJ ET
BT 153.236 345.147 Td /F1 15.0 Tf [( John L. Kelley 2017-03-07 Comprehensive text for beginning graduate-level students and )] TJ ET
BT 34.016 326.832 Td /F1 15.0 Tf [(professionals. "The clarity of the author's thought and the carefulness of his exposition make reading this book a )] TJ ET
BT 34.016 308.517 Td /F1 15.0 Tf [(pleasure." — Bulletin of the American Mathematical Society. 1955 edition.)] TJ ET
BT 34.016 290.202 Td /F1 15.0 Tf [(Introduction to Topology)] TJ ET
BT 194.936 290.202 Td /F1 15.0 Tf [( Bert Mendelson 2012-04-26 Concise undergraduate introduction to fundamentals of )] TJ ET
BT 34.016 271.887 Td /F1 15.0 Tf [(topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set )] TJ ET
BT 34.016 253.572 Td /F1 15.0 Tf [(theory, metric and topological spaces, connectedness, and compactness. 1975 edition.)] TJ ET
BT 34.016 235.257 Td /F1 15.0 Tf [(Introduction to Smooth Manifolds)] TJ ET
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34.016 232.782 m 253.286 232.782 l S
BT 253.286 235.257 Td /F1 15.0 Tf [( John M. Lee 2013-03-09 Author has written several excellent Springer books.; )] TJ ET
BT 34.016 216.942 Td /F1 15.0 Tf [(This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent )] TJ ET
BT 34.016 198.627 Td /F1 15.0 Tf [(diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is )] TJ ET
BT 34.016 180.312 Td /F1 15.0 Tf [(ahead and why)] TJ ET
BT 34.016 161.997 Td /F1 15.0 Tf [(Categories for the Working Mathematician)] TJ ET
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34.016 159.522 m 314.111 159.522 l S
BT 314.111 161.997 Td /F1 15.0 Tf [( Saunders MacLane 2013-11-11 Category Theory has developed rapidly. )] TJ ET
BT 34.016 143.682 Td /F1 15.0 Tf [(This book aims to present those ideas and methods which can now be effectively used by Mathe maticians working )] TJ ET
BT 34.016 125.367 Td /F1 15.0 Tf [(in a variety of other fields of Mathematical research. This occurs at several levels. On the first level, categories )] TJ ET
BT 34.016 107.052 Td /F1 15.0 Tf [(provide a convenient conceptual language, based on the notions of category, functor, natural transformation, )] TJ ET
BT 34.016 88.737 Td /F1 15.0 Tf [(contravariance, and functor category. These notions are presented, with appropriate examples, in Chapters I and II. )] TJ ET
BT 34.016 70.422 Td /F1 15.0 Tf [(Next comes the fundamental idea of an adjoint pair of functors. This appears in many substantially equivalent forms: )] TJ ET
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BT 34.016 546.612 Td /F1 15.0 Tf [(That of universal construction, that of direct and inverse limit, and that of pairs offunctors with a natural isomorphism )] TJ ET
BT 34.016 528.297 Td /F1 15.0 Tf [(between corresponding sets of arrows. All these forms, with their interrelations, are examined in Chapters III to V. )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(The slogan is "Adjoint functors arise everywhere". Alternatively, the fundamental notion of category theory is that of )] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(a monoid -a set with a binary operation of multiplication which is associative and which has a unit; a category itself )] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(can be regarded as a sort of general ized monoid. Chapters VI and VII explore this notion and its generaliza tions. )] TJ ET
BT 34.016 455.037 Td /F1 15.0 Tf [(Its close connection to pairs of adjoint functors illuminates the ideas of universal algebra and culminates in Beck's )] TJ ET
BT 34.016 436.722 Td /F1 15.0 Tf [(theorem characterizing categories of algebras; on the other hand, categories with a monoidal structure \(given by a )] TJ ET
BT 34.016 418.407 Td /F1 15.0 Tf [(tensor product\) lead inter alia to the study of more convenient categories of topological spaces.)] TJ ET
BT 34.016 400.092 Td /F1 15.0 Tf [(???)] TJ ET
BT 59.036 400.092 Td /F1 15.0 Tf [( James R. Munkres 2004 ?????:?????)] TJ ET
BT 34.016 381.777 Td /F1 15.0 Tf [(Topology)] TJ ET
BT 95.711 381.777 Td /F1 15.0 Tf [( James R. Munkres 2000 This introduction to topology provides separate, in-depth coverage of both )] TJ ET
BT 34.016 363.462 Td /F1 15.0 Tf [(general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory )] TJ ET
BT 34.016 345.147 Td /F1 15.0 Tf [(and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and )] TJ ET
BT 34.016 326.832 Td /F1 15.0 Tf [(Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric )] TJ ET
BT 34.016 308.517 Td /F1 15.0 Tf [(Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental )] TJ ET
BT 34.016 290.202 Td /F1 15.0 Tf [(Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of )] TJ ET
BT 34.016 271.887 Td /F1 15.0 Tf [(Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and )] TJ ET
BT 34.016 253.572 Td /F1 15.0 Tf [(algebraic topology and its applications.)] TJ ET
BT 34.016 235.257 Td /F1 15.0 Tf [(The Stone-?ech Compactification)] TJ ET
BT 255.776 235.257 Td /F1 15.0 Tf [( R.C. Walker 2012-12-06 Recent research has produced a large number of results )] TJ ET
BT 34.016 216.942 Td /F1 15.0 Tf [(concerning the Stone-Cech compactification or involving it in a central manner. The goal of this volume is to make )] TJ ET
BT 34.016 198.627 Td /F1 15.0 Tf [(many of these results easily accessible by collecting them in a single source together with the necessary )] TJ ET
BT 34.016 180.312 Td /F1 15.0 Tf [(introductory material. The author's interest in this area had its origin in his fascination with the classic text Rings of )] TJ ET
BT 34.016 161.997 Td /F1 15.0 Tf [(Continuous Functions by Leonard Gillman and Meyer Jerison. This excellent synthesis of algebra and topology )] TJ ET
BT 34.016 143.682 Td /F1 15.0 Tf [(appeared in 1960 and did much to draw attention to the Stone-Cech compactification {3X as a tool to investigate the )] TJ ET
BT 34.016 125.367 Td /F1 15.0 Tf [(relationships between a space X and the rings C\(X\) and C*\(X\) of real-valued continuous functions. Although in the )] TJ ET
BT 34.016 107.052 Td /F1 15.0 Tf [(approach taken here {3X is viewed as the object of study rather than as a tool, the influence of Rings of Continuous )] TJ ET
BT 34.016 88.737 Td /F1 15.0 Tf [(Functions is clearly evident. Three introductory chapters make the book essentially self-contained and the )] TJ ET
BT 34.016 70.422 Td /F1 15.0 Tf [(exposition suitable for the student who has completed a first course in topology at the graduate level. The )] TJ ET
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BT 34.016 528.297 Td /F1 15.0 Tf [(in the first chapter. The necessary material on Boolean algebras, including the Stone Representation Theorem, is )] TJ ET
BT 34.016 509.982 Td /F1 15.0 Tf [(developed in Chapter 2. A very basic introduction to category theory is presented in the beginning of Chapter 10 )] TJ ET
BT 34.016 491.667 Td /F1 15.0 Tf [(and the remainder of the chapter is an introduction to the methods of categorical topology as it relates to the Stone-)] TJ ET
BT 34.016 473.352 Td /F1 15.0 Tf [(Cech compactification.)] TJ ET
BT 36.266 426.625 Td /F1 8.0 Tf [(topology-2nd-edition-by-james-munkres-solutions)] TJ ET
BT 541.952 426.832 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 606.864 426.625 Td /F1 8.0 Tf [(www.studysphere.com)] TJ ET
BT 687.328 426.832 Td /F1 8.0 Tf [( on September 25, 2022 by guest)] TJ ET
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