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Homology Theory : An Introduction to Algebraic Topology - P. J. Hilton

Homology Theory

An Introduction to Algebraic Topology

Paperback

Published: 2nd March 1968
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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.

'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

General Introduction
Homology Theory of Polyhedra
Background to Part I
The Topology of Polyhedra
Homology Theory of Simplicial Complex
Chain Complexes
The Contrahomology Ring for Polyhedra
Abelian Groups and Homological Algebra
The Fundamental Group and Covering Spaces
General Homology Theory
Background to Part II
Contrahomology and Maps
Singular Homology Theory
The Singular Contrahomology Ring
Special Homology Theory and Homology Theory of Groups
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521094221
ISBN-10: 0521094224
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 508
Published: 2nd March 1968
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 21.59 x 13.97  x 2.87
Weight (kg): 0.64