Cohomological methods in transformation groups

C. Allday, V. Puppe

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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[目次]

  • 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 Poincare duality spaces
  • Appendices
  • References
  • Indexes.

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この本の情報

書名 Cohomological methods in transformation groups
著作者等 Allday, C.
Puppe, V.
Puppe Volker
Allday Christopher
シリーズ名 Cambridge studies in advanced mathematics
出版元 Cambridge University Press
刊行年月 2008, c1993
ページ数 xi, 470 p.
大きさ 24 cm
ISBN 9780521101325
NCID BA90931130
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言語 英語
出版国 イギリス
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