Pub. Date:
Cambridge University Press
Homology Theory: An Introduction to Algebraic Topology

Homology Theory: An Introduction to Algebraic Topology

by P. J. Hilton, S. Wylie


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This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.

Product Details

ISBN-13: 9780521094221
Publisher: Cambridge University Press
Publication date: 09/29/2008
Pages: 508
Product dimensions: 5.51(w) x 8.50(h) x 1.14(d)

Table of Contents

General Introduction; Part I. Homology Theory of Polyhedra: 1. Background to Part I; 2. The Topology of Polyhedra; 3. Homology Theory of Simplicial Complex; 4. Chain Complexes; 5. The Contrahomology Ring for Polyhedra; 6. Abelian Groups and Homological Algebra; 7. The Fundamental Group and Covering Spaces; Part II. General Homology Theory; 8. Background to Part II; 9. Contrahomology and Maps; 10. Singular Homology Theory; 11. The Singular Contrahomology Ring; 12. Special Homology Theory and Homology Theory of Groups; Bibliography; Index.

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