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Cohomological methods in transformation groups

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 h...

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Bibliographic Details
Main Authors: Allday, C., Puppe, V. (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 1993
Series:Cambridge studies in advanced mathematics
Subjects:
Topological Transformation Groups
Homology Theory
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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245 0 0 |a Cohomological methods in transformation groups  |c C. Allday, V. Puppe 
260 |a Cambridge  |b Cambridge University Press  |c 1993 
300 |a xi, 470 pages  |b digital 
505 0 |a Equivariant cohomology of G-C-W complexes and the Borel construction -- Summary of some aspects of rational homotopy theory -- Localization -- General results on torus and p-torus actions -- Actions on Poincareduality spaces -- Appendix A. Commutative algebra -- Appendix B. Some homotopy theory of differential modules 
653 |a Topological transformation groups 
653 |a Homology theory 
700 1 |a Puppe, V.  |e [author] 
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082 0 |a 514 
520 |a 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 

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