num_pages: 334
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.
language: English
title: Classical Topology and Combinatorial Group Theory
titlecomplete: Classical Topology and Combinatorial Group Theory (Graduate Texts in Mathematics , Vol 72)
genres: Geometry, Mathematics
ratings_count: 5
series: Graduate Texts in Mathematics
publisher: Springer-Verlag