A Basic Course in Algebraic Topology

  • William S. Massey

Part of the Graduate Texts in Mathematics book series (GTM, volume 127)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. William S. Massey
    Pages 1-34
  3. William S. Massey
    Pages 35-59
  4. William S. Massey
    Pages 60-85
  5. William S. Massey
    Pages 117-146
  6. William S. Massey
    Pages 147-157
  7. William S. Massey
    Pages 158-185
  8. William S. Massey
    Pages 225-253
  9. William S. Massey
    Pages 254-278
  10. William S. Massey
    Pages 279-304
  11. William S. Massey
    Pages 305-322
  12. William S. Massey
    Pages 323-349
  13. William S. Massey
    Pages 350-393
  14. Back Matter
    Pages 407-431

About this book


This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date. 


dimension finite homology volume algebra algebric topology cohomology cohomology theory group

Authors and affiliations

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

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media, LLC, part of Springer Nature 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-97430-9
  • Online ISBN 978-1-4939-9063-4
  • Series Print ISSN 0072-5285
  • Series Online ISSN 2197-5612
  • Buy this book on publisher's site