Graduate Texts in Mathematics

Homology Theory

An Introduction to Algebraic Topology

Authors: Vick, James W.

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About this Textbook

The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda­ mental group and explores its properties, including Van Kampen's Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973.

Table of contents (7 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-1-4612-0881-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-0-387-94126-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-1-4612-6933-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Homology Theory
Book Subtitle
An Introduction to Algebraic Topology
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
145
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0881-5
DOI
10.1007/978-1-4612-0881-5
Hardcover ISBN
978-0-387-94126-4
Softcover ISBN
978-1-4612-6933-5
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XIV, 245
Additional Information
Originally published by Academic Press, New York, 1973
Topics