Format:
1 online resource (xi, 470 pages)
ISBN:
9780521350228
,
9780521101325
,
9780511526275
Series Statement:
Cambridge studies in advanced mathematics 32
Content:
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.
Content:
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
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521350228
Additional Edition:
ISBN 9780521101325
Additional Edition:
Allday, C. Cohomological methods in transformation groups Cambridge [u.a.] : Cambridge Univ. Press, 1993 ISBN 0521350220
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521350228
Language:
English
Subjects:
Mathematics
Keywords:
Kompakte Transformationsgruppe
;
Kohomologietheorie
DOI:
10.1017/CBO9780511526275
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