Introduction to Topology

by Solomon Lefschetz

Overview

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.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Product Details

ISBN-13:	9780691627502
Publisher:	Princeton University Press
Publication date:	12/08/2015
Series:	Princeton Legacy Library , #1876
Pages:	228
Product dimensions:	6.10(w) x 9.10(h) x 0.70(d)

Table of Contents

• Frontmatter, pg. i
• Preface, pg. v
• Contents, pg. vii
• Introduction, a Survey of Some Topological Concepts, pg. 1
• Chapter I. Basic Information about Sets, Spaces, Vectors, Groups, pg. 26
• Chapter II. Two-dimensional Polyhedral Topology, pg. 45
• Chapter III. Theory of Complexes, pg. 86
• Chapter IV. Transformations of Complexes. Simplicial Approximations and Related Questions, pg. 110
• Chapter V. Further Properties of Homotopy. Fixed Points. Fundamental Group. Homotopy Groups, pg. 142
• Chapter VI. Introduction to Manifolds. Duality Theorems, pg. 183
• Bibliography, pg. 208
• List of Symbols, pg. 211
• Index, pg. 213