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Cohomological Methods in Transformation Groups

Name: Cohomological Methods in Transformation Groups
Brand: Cambridge University Press
SKU: 9780521350228
Price: 19425.00 INR
Availability: InStock
ISBN: 9780521350228

COHOMOLOGICAL METHODS IN TRANS

Contributor(s): Allday, C. Author , Puppe, V. Author , Puppe, Volker Author Format: Hardback

Hardback · ISBN 9780521350228

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Key Specifications

ISBN	9780521350228
Subtitle	COHOMOLOGICAL METHODS IN TRANS
Publisher	Cambridge University Press
Publication date	January 1993
Language	English
MRP	£154.00 GBP
Page count	484
Item weight	194 g

In the large and thriving field of compact transformation groups an important role has long been played by cohomological methods. This book aims to give a contemporary account of such methods, in particular the applications of ordinary cohomology theory and rational homotopy theory with principal emphasis on actions of tori and elementary abelian p-groups on finite-dimensional spaces. For example, spectral sequences are not used in Chapter 1, where the approach is by means of cochain complexes; and much of the basic theory of cochain complexes needed for this chapter is outlined in an appendix. For simplicity, emphasis is put on G-CW-complexes; the refinements needed to treat more general finite-dimensional (or finitistic) G-spaces are often discussed separately. Subsequent chapters give systematic treatments of the Localization Theorem, applications of rational homotopy theory, equivariant Tate cohomology and actions on Poincaré duality spaces. Many shorter and more specialized topics are included also. Chapter 2 contains a summary of the main definitions and results from Sullivan's version of rational homotopy theory which are used in the book.

Cohomological Methods in Transformation Groups

Key Specifications

Allday, C. Author

Puppe, V. Author

Puppe, Volker Author

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