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Singular Homology Theory

  • William S. Massey

Part of the Graduate Texts in Mathematics book series (GTM, volume 70)

Table of contents

  1. Front Matter
    Pages i-xii
  2. William S. Massey
    Pages 1-10
  3. William S. Massey
    Pages 76-104
  4. William S. Massey
    Pages 105-128
  5. William S. Massey
    Pages 129-153
  6. William S. Massey
    Pages 154-171
  7. William S. Massey
    Pages 172-198
  8. William S. Massey
    Pages 199-238
  9. Back Matter
    Pages 251-267

About this book

Introduction

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

Keywords

Dimension Finite Homologie Homology Volume algebra algebraic topology cohomology cohomology theory group manifold mathematics topology

Authors and affiliations

  • William S. Massey
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-9231-6
  • Copyright Information Springer-Verlag New York 1980
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-9233-0
  • Online ISBN 978-1-4684-9231-6
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site