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Rings, Modules, and Algebras in Stable Homotopy Theory by I. Kriz, J.Peter May, A.D. Elmendorf, M. Cole, M.A. Mandell (Paperback, 2007)

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Product Information

This book introduces a new point-set level approach to stable homotopy theory that has already had many applications and promises to have a lasting impact on the subject. Given the sphere spectrum $S$, the authors construct an associative, commutative, and unital smash product in a complete and cocomplete category of $S$-modules whose derived category is equivalent to the classical stable homotopy category. This construction allows for a simple and algebraically manageable definition of $S$-algebras and commutative $S$-algebras in terms of associative, or associative and commutative, products $R\wedge SR \longrightarrow R$. These notions are essentially equivalent to the earlier notions of $A {\infty $ and $E {\infty $ ring spectra, and the older notions feed naturally into the new framework to provide plentiful examples. There is an equally simple definition of $R$-modules in terms of maps $R\wedge SM\longrightarrow M$. When $R$ is commutative, the category of $R$-modules also has a

Product Identifiers

Publisher
American Mathematical Society
ISBN-13
9780821843031
eBay Product ID (ePID)
103727964

Product Key Features

Author
I. Kriz, J.Peter May, A.D. Elmendorf, M. Cole, M.A. Mandell
Publication Name
Rings, Modules, and Algebras in Stable Homotopy Theory
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2007
Type
Textbook
Number of Pages
249 Pages

Additional Product Features

Title_Author
M.A. Mandell, I. Kriz, A.D. Elmendorf, M. Cole, J.Peter May
Series Title
Mathematical Surveys and Monographs
Country/Region of Manufacture
United States

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