Singular Homology Theory
Author:   W.S. Massey
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1980
Volume:   70
ISBN:  

9781468492330


Pages:   428
Publication Date:   01 August 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Singular Homology Theory


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Overview

This textbook on homology and cohomology theory is geared towards the beginning graduate student. Singular homology theory is developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind various algebraic concepts is emphasized. The only formal prerequisites are knowledge of the basic facts of abelian groups and point set topology. Singular Homology Theory is a continuation of t he author's earlier book, Algebraic Topology: An Introduction, which presents such important supplementary material as the theory of the fundamental group and a thorough discussion of 2-dimensional manifolds. However, this earlier book is not a prerequisite for understanding Singular Homology Theory. 

Full Product Details

Author:   W.S. Massey
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1980
Volume:   70
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.438kg
ISBN:  

9781468492330


ISBN 10:   1468492330
Pages:   428
Publication Date:   01 August 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Chapter 1: Background and Motivation for Homology Theory.- Chapter 2: Definitions and Basic Properties of Homology Theory.- Determination of the Homology Groups of Certain Spaces: Applications and Further Properties of Homology Theory.- Chapter 4: Homology of CW-complexes.- Chapter 5: Homology with Arbitrary Coefficient Groups.- Chapter 6: The Homology of Product Spaces.- Chapter 7: Cohomology Theory.- Chapter 8: Products in Homology and Cohomology.- Chapter 9: Duality Theorems for the Homology of Manifolds.- Chapter 10: Cup Products in Projective Spaces and Applications of Cup Products.- Appendix: A Proof of De Rham's Theorem.- Index.

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