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Classical Topology and Combinatorial Group Theory

Classical Topology and Combinatorial Group Theory - 2nd edition

ISBN13: 978-0387979700

Cover of Classical Topology and Combinatorial Group Theory 2ND 93 (ISBN 978-0387979700)
ISBN13: 978-0387979700
ISBN10: 0387979700 Edition: 2ND 93
Copyright: 1993
Publisher: Springer-Verlag New York
Published: 1993
International: No

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Classical Topology and Combinatorial Group Theory - 2ND 93 edition

ISBN13: 978-0387979700

John C. Stillwell

ISBN13: 978-0387979700
ISBN10: 0387979700 Edition: 2ND 93
Copyright: 1993
Publisher: Springer-Verlag New York
Published: 1993
International: No
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.

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