Cohomological Methods in Transformation Groups
Series: Cambridge Studies in Advanced Mathematics; 32;
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Product details:
- Publisher Cambridge University Press
- Date of Publication 1 July 1993
- ISBN 9780521350228
- Binding Hardback
- No. of pages484 pages
- Size 229x152x32 mm
- Weight 880 g
- Language English 0
Categories
Short description:
The reader with a relatively modest background in algebraic topology can penetrate rather deeply into the subject.
MoreLong description:
This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.
"...a clear, beautifully written presentation of some of the central developments in topology in the last thirty-odd years, centering on a subject which we dare predict will never cease to surprise, namely, the action of groups on topological spaces. May it be the forerunner of several other such expositions." Gian-Carlo Rota, The Bulletin of Mathematical Books
Table of Contents:
Preface; 1. Equivalent cohomology of G-CW-complexes and the Borel construction; 2. Summary of some aspects of rational homotopy theory; 3. Localisation; 4. General results on torus and p-torus actions; 5. Actions on Poincar&&&233; duality spaces; Appendices; References; Indexes.
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