Springer Monographs in Mathematics

Combinatorial Foundation of Homology and Homotopy

Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions

Authors: Baues, Hans-Joachim

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About this book

This book considers deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and characterizes axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-662-11338-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-540-64984-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-642-08447-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Combinatorial Foundation of Homology and Homotopy
Book Subtitle
Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions
Authors
Series Title
Springer Monographs in Mathematics
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-11338-7
DOI
10.1007/978-3-662-11338-7
Hardcover ISBN
978-3-540-64984-7
Softcover ISBN
978-3-642-08447-8
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XV, 365
Topics