Homology Theory: An Introduction to Algebraic Topology

by P. J. Hilton, S. Wylie

Overview

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:	01/01/1968
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.

Editorial Reviews

'This book achieves the purpose of providing an introduction which reaches the developing parts of the subject, and for those who already know a little algebraic topology is by far the best textbook for further study.' D.G. Palmer in Proceedings of the Edinburgh Mathematical Society

'This is a badly needed book. It does an excellent job of carrying the serious beginning student of algebraic topology to a genuine acquaintance with the field.' A. Heller in American Mathematical Reviews

'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

From the Publisher