Description

Book Synopsis
An account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and applications. Intended to be of use to graduates and algebraic topologists, it gathers work on the theory of modules over the Steenrod algebra.

Table of Contents
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 André-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

Unstable Modules over the Steenrod Algebra and

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    A Hardback by Lionel Schwartz

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      View other formats and editions of Unstable Modules over the Steenrod Algebra and by Lionel Schwartz

      Publisher: University of Chicago Press
      Publication Date: Publication Date: 6/25/1994 12:00:00 AM
      ISBN13: 9780226742021, 978-0226742021
      ISBN10: 0226742024

      Description

      Book Synopsis
      An account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and applications. Intended to be of use to graduates and algebraic topologists, it gathers work on the theory of modules over the Steenrod algebra.

      Table of Contents
      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 André-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

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