Introduction to Topology
About this book
In this book, which may be used as a self-contained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems.
Originally published in 1949.
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Information
Table of contents
- Cover
- Contents
- Preface
- Introduction, a Survey of Some Topological Concepts
- I. Basic Information About Sets, Spaces, Vectors, Groups
- II. Two-Dimensional Polyhedral Topology
- III. Theory of Complexes
- IV. Transformations of Complexes. Simplicial Approximations and Related Questions
- V. Further Properties of Homotopy. Fixed Points. Fundamental Group. Homotopy Groups
- VI. Introduction to Manifolds. Duality Theorems
- Bibliography
- List of Symbols
- Index
