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Classical Topology and Combinatorial Group Theory: v. 72 (Graduate Texts in Mathematics) - Hardcover

 
9783540979708: Classical Topology and Combinatorial Group Theory: v. 72 (Graduate Texts in Mathematics)

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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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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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Stillwell, J.
Verlag: Springer-Verlag, NY, 1993
ISBN 10: 3540979700 ISBN 13: 9783540979708
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Anbieter: Daedalus Books, Portland, OR, USA

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Hardcover. Zustand: Very Good+. First Edition. Former owner's name penned to front endpaper. A nice, bright copy. ; Graduate Texts in Mathematics; Vol. 72; 8vo ; 334 pages. Bestandsnummer des Verkäufers 294141

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