© 2002

Algebraic Topology — Homotopy and Homology


Part of the Classics in Mathematics book series (volume 212)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Robert M. Switzer
    Pages 1-5
  3. Robert M. Switzer
    Pages 11-35
  4. Robert M. Switzer
    Pages 36-51
  5. Robert M. Switzer
    Pages 52-63
  6. Robert M. Switzer
    Pages 64-73
  7. Robert M. Switzer
    Pages 74-98
  8. Robert M. Switzer
    Pages 99-132
  9. Robert M. Switzer
    Pages 133-151
  10. Robert M. Switzer
    Pages 152-166
  11. Robert M. Switzer
    Pages 167-189
  12. Robert M. Switzer
    Pages 190-217
  13. Robert M. Switzer
    Pages 218-232
  14. Robert M. Switzer
    Pages 233-305
  15. Robert M. Switzer
    Pages 306-335
  16. Robert M. Switzer
    Pages 336-374
  17. Robert M. Switzer
    Pages 375-410
  18. Robert M. Switzer
    Pages 411-439
  19. Robert M. Switzer
    Pages 440-457

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)


Algebraic topology YellowSale2006 cohomology theories fibre bundles homolgy theories homotopy groups monotopy theory operations spectral sequences

Authors and affiliations

  1. 1.Mathematisches InstitutGeorg-August-UniversitätGöttingenGermany

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. 

Bibliographic information

  • Book Title Algebraic Topology — Homotopy and Homology
  • Authors Robert M. Switzer
  • Series Title Classics in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-06758-0
  • Softcover ISBN 978-3-540-42750-6
  • eBook ISBN 978-3-642-61923-6
  • Series ISSN 0072-7830
  • Edition Number 1
  • Number of Pages XIII, 526
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Reprint of the 1975 Edition (Grundlehren der mathematischen Wissenschaften, Vol. 212)
  • Topics Algebraic Topology
  • Buy this book on publisher's site


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)