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Classical Topology and Combinatorial Group Theory - 2nd edition

Classical Topology and Combinatorial Group Theory (ISBN10: 0387979700; ISBN13: 9780387979700)
ISBN13: 978-0387979700
ISBN10: 0387979700

Summary: This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, man
y interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable.
...show more
Summary: This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable. ...show less

Edition/Copyright: 2ND 93
Cover: Hardcover
Publisher: Springer-Verlag New York
Published: 03/25/1993
International: No



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New York, NY 1995 Hard cover 2nd 1993. Corr. 2nd Printing 1995 ed. Fair. Sewn binding. Cloth over boards. 336 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 72.
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