Overview

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 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 provides a valuable reference for algebraic topologists and includes foundational material essential for graduate study.

Full Product Details

Author:   Lionel Schwartz
Publisher:   The University of Chicago Press
Imprint:   University of Chicago Press
Edition:   2nd ed.
Dimensions:   Width: 1.40cm , Height: 0.20cm , Length: 2.10cm
Weight:   0.397kg
ISBN:  

9780226742021

ISBN 10:   0226742024
Pages:   240
Publication Date:   25 June 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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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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Author Information

Lionel Schwartz is professor of mathematics in the Institut Galilée, Université Paris-Nord.

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