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


The main purpose of this book is to give a systematic treatment of singular homology and cohomology theory. It is in some sense a sequel to the author's previous book in this Springer-Verlag series entitled Algebraic Topology: An Introduction. This earlier book is definitely not a logical prerequisite for the present volume. However, it would certainly be advantageous for a prospective reader to have an acquaintance with some of the topics treated in that earlier volume, such as 2-dimensional manifolds and the funda­ mental group. Singular homology and cohomology theory has been the subject of a number of textbooks in the last couple of decades, so the basic outline of the theory is fairly well established. Therefore, from the point of view of the mathematics involved, there can be little that is new or original in a book such as this. On the other hand, there is still room for a great deal of variety and originality in the details of the exposition. In this volume the author has tried to give a straightforward treatment of the subject matter, stripped of all unnecessary definitions, terminology, and technical machinery. He has also tried, wherever feasible, to emphasize the geometric motivation behind the various concepts.


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
  • 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
  • About this book