Overview

"This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The works begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. The book then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to ""brave new algebra"", the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail."

Full Product Details

Author:   J. Peter May
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 91
Dimensions:   Width: 17.90cm , Height: 2.00cm , Length: 23.00cm
Weight:   0.705kg
ISBN:  

9780821803196

ISBN 10:   0821803190
Pages:   400
Publication Date:   30 October 1996
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   To order  
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