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.
Product Identifiers
Publisher
American Mathematical Society
ISBN-13
9780821803196
eBay Product ID (ePID)
96523587
Product Key Features
Author
Not Available
Publication Name
Equivariant Homotopy and Cohomology Theory
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
1996
Type
Textbook
Additional Product Features
Series Title
Cbms Regional Conference Series in Mathematics
Country/Region of Manufacture
United States
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