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Classical Topology and Combinatorial Group Theory by John Stillwell

Posted on 2011-04-05




Name:Classical Topology and Combinatorial Group Theory by John Stillwell
ASIN/ISBN:0387979700
Publisher:Springer
Publish Date:2nd edition (March 25, 1993)
Pages:346
File size:12.18 Mb
Publisher: Springer; 2nd edition (March 25, 1993)
ISBN: 0387979700
Pages: 346
File Size: 12.18 MB
Other Info: DJVU
   Classical Topology and Combinatorial Group Theory by John Stillwell

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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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