Homology Theory (2nd Ed., 2nd ed. 1994. Softcover reprint of the original 2nd ed. 1994)
An Introduction to Algebraic Topology

Graduate Texts in Mathematics Series, Vol. 145

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Language: English

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Homology Theory (2nd Ed.)
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245 p. · 15.5x23.5 cm · Paperback

Approximative price 89.66 €

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Homology Theory (2nd Ed.)
Publication date:
245 p. · 15.5x23.5 cm · Hardback

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.

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.