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Cohomological methods in transformat...

Allday, C.

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Cohomological methods in transformation groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Cohomological methods in transformation groups/ C. Allday, V. Puppe.
作者:	Allday, C.
其他作者:	Puppe, V.
出版者:	Cambridge :Cambridge University Press, : 1993.,
面頁冊數:	xi, 470 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	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.
標題:	Topological transformation groups. -
電子資源:	https://doi.org/10.1017/CBO9780511526275
ISBN:	9780511526275

Cohomological methods in transformation groups
Allday, C.

Cohomological methods in transformation groups[electronic resource] /C. Allday, V. Puppe. - Cambridge :Cambridge University Press,1993. - xi, 470 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;32. - Cambridge studies in advanced mathematics ;32..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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.

ISBN: 9780511526275Subjects--Topical Terms:

704981
Topological transformation groups.

LC Class. No.: QA613.7 / .A44 1993

Dewey Class. No.: 514

Cohomological methods in transformation groups
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
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.
650 0 $a Topological transformation groups. $3 704981
650 0 $a Homology theory. $3 555733
700 1 $a Puppe, V. $3 708502
830 0 $a Cambridge studies in advanced mathematics ; $v 32. $3 3470648
856 4 0 $u https://doi.org/10.1017/CBO9780511526275