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Classical Topology and Combinatorial Group Theory

Author: John Stillwell
Publisher: New York, NY : Springer New York, 1993.
Series: Graduate texts in mathematics, 72.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
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  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John Stillwell
ISBN: 9781461243724 1461243726
OCLC Number: 852789255
Description: 1 online resource (xii, 334 pages 312 illustrations).
Series Title: Graduate texts in mathematics, 72.
Responsibility: by John Stillwell.

Abstract:

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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