ENGLISH

Classical Topology and Combinatorial Group Theory

By John Stillwell

Book information

Publisher
Springer-Verlag GmbH
Year
1993
ISBN
0387979700, 9780387979700
Language
english
Format
DJVU
Filesize
11 MB (11711683 bytes)
Series
Graduate texts in mathematics 72
Edition
2. Auflage.
Pages
344\344
Time added
2011-01-06 10:13:16

Description

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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