Homology Theory: An Introduction to Algebraic Topology

Couverture
CUP Archive, 1967 - 484 pages
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.
 

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Table des matières

Background to Part I
3
The Topology of Polyhedra
14
Homology Theory of a Simplicial Complex
53
Chain Complexes
95
The Contrahomology Ring for Polyhedra
140
Abelian Groups and Homological Algebra
158
The Fundamental Group and Covering Spaces
228
Background to Part II
273
Contrahomology and Maps
290
Singular Homology Theory
313
The Singular Contrahomology Ring
361
10 Spectral Homology Theory and Homology
394
Bibliography
477
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