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Homology Theory An Introduction to Algebraic Topology

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ISBN-10: 0387941266

ISBN-13: 9780387941264

Edition: 2nd 1994 (Revised)

Authors: James W. Vick

List price: $89.99
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Description:

This book is designed to be an introduction to some of the basic ideas in the field of algebraic topology. In particular, it is devoted to the foundations and applications of homology theory. The only prerequisite for the student is a basic knowledge of abelian groups and point set topology. The essentials of singular homology are given in the first chapter, along with some of the most important applications. In this way the student can quickly see the importance of the material. The successive topics include attaching spaces, finite CW complexes, the Eilenberg-Steenrod axioms, cohomology products, manifolds, Poincar duality, and fixed point theory. Throughout the book the approach is as illustrative as possible, with numerous examples and diagrams. Extremes of generality are sacrificed when they are likely to obscure the essential concepts involved. The book is intended to be easily read by students as a textbook for a course or as a source for individual study. The second edition has been substantially revised. It includes a new chapter on covering spaces in addition to illuminating new exercises.
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Book details

List price: $89.99
Edition: 2nd
Copyright year: 1994
Publisher: Springer
Publication date: 1/7/1994
Binding: Hardcover
Pages: 245
Size: 6.50" wide x 9.75" long x 0.75" tall
Weight: 1.144
Language: English

Preface to the Second Edition
Preface to the First Edition
Acknowledgments
Singular Homology Theory
Attaching Spaces with Maps
The Eilenberg-Steenrod Axioms
Covering Spaces
Products
Manifolds and Poincare Duality
Fixed-Point Theory
Appendix I
Appendix II
References
Bibliography: Books and Historical Articles Since 1973
Bibliography: Books and Notes
Bibliography: Survey and Expository Articles
Index