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Cohomological methods in transformation groups

By: Contributor(s): Series: Cambridge studies in advanced mathematics ; 32Publication details: Cambridge University Press, 1993. Cambridge:Description: xi, 470 p. ; ill. ; pb. ; 24 cmISBN:
  • 9780521101325
Subject(s): DDC classification:
  • 514 ALL
Summary: 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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Item type Current library Collection Call number Copy number Status Date due Barcode
Books Books IIT Gandhinagar General Stacks General 514 ALL (Browse shelf(Opens below)) 1 Available 030076

Includes bibliographical references (p. [456]-465) and indexes.

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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