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Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture Book

Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture
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Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture, , Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture
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  • Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture
  • Written by author Lionel Schwartz
  • Published by University of Chicago Press, June 1994
  • A comprehensive account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and applications. Lionel Schwartz collects here for the first time some of the most innovative work on the th
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Book Categories

Authors

Introduction1
Ch. 1Recollections concerning the Steenrod algebra and unstable A-modules17
Ch. 2Algebraic Brown-Gitler technology35
Ch. 3U-Injectivity of the mod p cohomology of elementary abelian p-groups and Lannes' functor T[subscript V]61
Ch. 4The structure of indecomposable reduced U-injectives105
Ch. 5The category U/Nil, analytic functors, and representations of the symmetric groups115
Ch. 6Subcategories of U139
Ch. 7Non-Abelian homological algebra and Andre-Quillen cohomology155
Ch. 8On homotopy classes of maps from BV179
Ch. 9The generalized Sullivan conjecture and the cohomology of mapping spaces199
References219
Index of notation228
Index229


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