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Homology Theory James W. Vick

Homology Theory By James W. Vick

Homology Theory by James W. Vick


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Summary

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.

Homology Theory Summary

Homology Theory: An Introduction to Algebraic Topology by James W. Vick

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.

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 Poincare Duality.- 7 Fixed-Point Theory.- Appendix I.- Appendix II.- References.- Books and Historical Articles Since 1973.- Books and Notes.- Survey and Expository Articles.

Additional information

NPB9780387941264
9780387941264
0387941266
Homology Theory: An Introduction to Algebraic Topology by James W. Vick
New
Hardback
Springer-Verlag New York Inc.
1994-01-07
245
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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