Overview
- Features topics such as the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory
- Consists of material from the author's earlier titles, Algebraic Topology (GTM 56) and Singular Homology Theory (GTM 70)
- Gives several applications of the methods of algebraic topology to concrete geometrical-topological problems
Part of the book series: Graduate Texts in Mathematics (GTM, volume 127)
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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.
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the author
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.
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Bibliographic Information
Book Title: A Basic Course in Algebraic Topology
Authors: William S. Massey
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4939-9063-4
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 1991
Hardcover ISBN: 978-0-387-97430-9Published: 06 March 1991
eBook ISBN: 978-1-4939-9063-4Published: 28 June 2019
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XVIII, 431
Topics: Algebraic Geometry