Unstable modules over the Steenrod algebra and Sullivan's fixed point set conjecture
著者
書誌事項
Unstable modules over the Steenrod algebra and Sullivan's fixed point set conjecture
（Chicago lectures in mathematics）
University of Chicago Press, c1994
- : pbk
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注記
Includes bibliographical references (p. 219-227) and indexes
内容説明・目次
- 巻冊次
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ISBN 9780226742021
内容説明
An account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and applications. It gathers work on the theory of modules over the Steenrod algebra, including ideas on the Segal conjecture, work from the late 1970s by Adams and Wilkerson, and topics in algebraic group representation theory. This course-tested book is intended to be of use as a reference for algebraic topologists and includes foundational material that is of relevance for graduate study.
目次
Introduction Frequently used notation Part 1 1. Recollections of the Steenrod algebra and unstable A-modules 2. Algebraic Brown-Gitler technology 3. U-Injectivity of the mod p cohomology of elementary abelian p-groups and Lannes' functor TV Part 2 4. The structure of indecomposable reduced U-injectives 5. The category U/Nil, analytic functors, and representations of the symmetric groups 6. Subcategories of U Part 3 7. Non-Abelian homological algebra and Andre-Quillen cohomology 8. On homotopy classes of maps from BV 9. The generalized Sullivan conjecture and the cohomology of mapping spaces References Index of notation Index
- 巻冊次
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: pbk ISBN 9780226742038
内容説明
An account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and applications. It gathers work on the theory of modules over the Steenrod algebra, including ideas on the Segal conjecture, work from the late 1970s by Adams and Wilkerson, and topics in algebraic group representation theory. This course-tested book is intended to be of use as a reference for algebraic topologists and includes foundational material that is of relevance for graduate study.
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