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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
The University of Chicago Press
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 21 mm
Breite: 14 mm
Dicke: 2 mm
Gewicht
ISBN-13
978-0-226-74202-1 (9780226742021)
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Schweitzer Klassifikation
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
