Homology Theory: An Introduction to Algebraic Topology / Edition 2

by James W. Vick

Overview

This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition includes a chapter on covering spaces and many new exercises.

Product Details

ISBN-13:	9780387941264
Publisher:	Springer New York
Publication date:	01/07/1994
Series:	Graduate Texts in Mathematics Series , #145
Edition description:	2nd ed. 1994
Pages:	245
Product dimensions:	6.20(w) x 9.30(h) x 0.80(d)

Table of Contents

1 Singular Homology Theory.- 2 Attaching Spaces with Maps.- 3 The Eilenberg-Steenrod Axioms.- 4 Covering Spaces.- 5 Products.- 6 Manifolds and Poincaré Duality.- 7 Fixed-Point Theory.- Appendix I.- Appendix II.- References.- Books and Historical Articles Since 1973.- Books and Notes.- Survey and Expository Articles.