Graduate Texts in Mathematics

A Basic Course in Algebraic Topology

Authors: Massey, William S.

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About this Textbook

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. 

About the authors

William S. Massey (1920-2017) was an American mathematician known for his work in algebraic topology. The Blakers-Massey theorem and the Massey product were both named for him. His textbooks Singular Homology Theory and Algebraic Topology: An Introduction are also in the Graduate Texts in Mathematics series.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $79.99
price for USA in USD
  • ISBN 978-1-4939-9063-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-0-387-97430-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
A Basic Course in Algebraic Topology
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
127
Copyright
1991
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC, part of Springer Nature
eBook ISBN
978-1-4939-9063-4
DOI
10.1007/978-1-4939-9063-4
Hardcover ISBN
978-0-387-97430-9
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XVIII, 431
Topics