Homology Theory
An Introduction to Algebraic Topology

This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject.

P. J. Hilton (Author), S. Wylie (Author)

9780521094221, Cambridge University Press

Paperback / softback, published 1 January 1968

508 pages
21.6 x 14 x 2.9 cm, 0.64 kg

'The book is written with great skill and contains a large number of exercises. The authors constantly emphasise the geometrical nature of the ideas they examine'. P.S. Alexandrov in the Preface to the Russian edition

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.

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.

Subject Areas: Geometry [PBM]