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Classics in Mathematics
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Algebraic Topology - Homotopy and Homology

Authors: Switzer, Robert M.

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About this book

From the reviews:
"The author has attempted an ambitious and most commendable project. He assumes only a modest knowledge of algebraic topology on the part of the reader to start with, and he leads the reader systematically to the point at which he can begin to tackle problems in the current areas of research centered around generalized homology theories and their applications. ... The author has sought to make his treatment complete and he has succeeded. The book contains much material that has not previously appeared in this format. The writing is clean and clear and the exposition is well motivated. ... This book is, all in all, a very admirable work and a valuable addition to the literature...
(S.Y. Husseini in Mathematical Reviews, 1976)

About the authors

Biography of Robert M. Switzer

Robert M. Switzer was born in Tennessee (USA) in 1940.

After majoring in mathematics at Harvard College, he completed his PhD at Stanford University in 1965. He spent 5 years as lecturer at the University of Manchester, England, and then moved to Goettingen, Germany, where he has been Professor of Mathematics since 1973. In the early 1980s his research concentrated on obstruction theory in connection with holomorphic bundles on projective spaces. 

In 1984 he switched his attention to Computer Science and has been teaching and working in that field ever since. 

Reviews

From the reviews:

"This book contains much impressive mathematics, namely the achievements by algebraic topologists in obtaining extensive information on the stable homotopy groups of spheres, and the computation of various cobordism groups. It is a long book, and for the major part a very advanced book. ... (It is) suitable for specialists, or for those who already know what algebraic topology is for, and want a guide to the principal methods of stable homotopy theory."
R. Brown in Bulletin of the London Mathematical Society, 1980

"In the more than twenty five years since its first appearance, the book has met with favorable response, both in its use as a text and as reference. It is a good course which leads the reader systematically to the point at which he can begin to tackle problems in algebraic topology. … This book remains one of the best sources for the material which every young algebraic topologist should know." (Corina Mohorianu, Zentralblatt MATH, Vol. 1003 (3), 2003)


 

Table of contents (21 chapters)

Table of contents (21 chapters)
  • Some Facts from General Topology

    Pages 1-5

    Switzer, Robert M.

  • Categories, Functors and Natural Transformations

    Pages 6-10

    Switzer, Robert M.

  • Homotopy Sets and Groups

    Pages 11-35

    Switzer, Robert M.

  • Properties of the Homotopy Groups

    Pages 36-51

    Switzer, Robert M.

  • Fibrations

    Pages 52-63

    Switzer, Robert M.

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-642-61923-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-540-42750-6
  • Free shipping for individuals worldwide. COVID shipping restrictions apply.
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Topology - Homotopy and Homology
Authors
Series Title
Classics in Mathematics
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Germany
eBook ISBN
978-3-642-61923-6
DOI
10.1007/978-3-642-61923-6
Softcover ISBN
978-3-540-42750-6
Series ISSN
1431-0821
Edition Number
1
Number of Pages
XIII, 526
Additional Information
Reprint of the 1975 Edition (Grundlehren der mathematischen Wissenschaften, Vol. 212)
Topics

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