Classical topology and combinatorial group theory
2nd ed.
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Author
Publication
1995 - Springer-Verlag, New York, New York (State)
Language
English
Word Count
83,500 words, Guess
Page Count
334 pages
Identifiers
- Internet Archiveclassicaltopolog00stil_589
- ISBN-100387979700
- ISBN-103540979700
- ISBN-139780387979700
- ISBN-139783540979708
Classifications
- DDC514/.2
- LCCQA611 .S84 1995
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.
Subjects
Series Statement
- Graduate texts in mathematics ;
- 72
Other Editions
- Classical topology and combinatorial group theory
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