LIKE NEW: This book is in excellent, like-new condition. It was printed on acid-free paper.
Product Details
This is Volume 72 in theGraduate Texts in Mathematics series from Springer.
Continued from the back cover: "Focusing on historical background and visual interpretation of results, [this book] emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also presents 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."
Chapters
Introduction and Foundations
Complex Analysis and Surface Topology
Graphs and Free Groups
Foundations for the Fundamental Group
Fundamental Groups of Complexes
Homology Theory and Abelianization
Curves on Surfaces
Knots and Braids
Three-Dimensional Manifolds
Unsolvable Problems
The book concludes with "Bibliography and Chronology" and "Index."
