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Equivariant Homotopy and Cohomology Theory

About this Title

J. P. May, University of Chicago, Chicago, IL, Michael Cole, Gustavo R Comezana, Steven R Costenoble, Anthony D Elmendorf, John P Greenlees, L G Lewis, Robert J Piacenza, Georgia Triantafillou and Stefan Waner

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1996; Volume 91
ISBNs: 978-0-8218-0319-6 (print); 978-1-4704-2451-0 (online)
DOI: https://doi.org/10.1090/cbms/091
MathSciNet review: MR1413302
MSC: Primary 55P91; Secondary 18G99, 55N91, 55U35

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Table of Contents

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Front/Back Matter

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Chapters

1. Introduction
Chapter I. Equivariant cellular and homology theory
Chapter II. Postnikov systems, localization, and completion
Chapter III. Equivariant rational homotopy theory (by Georgia Triantafillou)
Chapter IV. Smith theory
Chapter V. Categorical constructions; equivariant applications
Chapter VI. The homotopy theory of diagrams (by Robert J. Piacenza)
Chapter VII. Equivariant bundle theory and classifying spaces
Chapter VIII. The Sullivan conjecture
Chapter IX. An introduction to equivariant stable homotopy
Chapter X. $G-\textrm {CW}(V)$ complexes and $RO(G)$-graded cohomology (by Stefan Waner)
Chapter XI. The equivariant Hurewicz and suspension theorems (by L. Guance Lewis, Jr.)
Chapter XII. The equivariant stable homotopy category
Chapter XIII. $RO(G)$-graded homology and cohomology theories
Chapter XIV. An introduction to equivariant $K$-theory (by J. P. C. Greenlees)
Chapter XV. An introduction to equivariant cobordism (by S. R. Costenoble)
Chapter XVI. Spectra and $G$-spectra; change of groups; duality
Chapter XVII. The Burnside ring
Chapter XVIII. Transfer maps in equivariant bundle theory
Chapter XIX. Stable homotopy and Mackey functors
Chapter XX. The Segal conjecture
Chapter XXI. Generalized Tate cohomology (by J. P. C. Greenlees and J. P. May)
Chapter XXII. Twisted half-smash products and function spectra (by Michael Cole)
Chapter XXIII. Brave new algebra
Chapter XXIV, Brave new equivariant foundations (by A. D. Elmendorf, L. G. Lewis, Jr., and J. P. May)
Chapter XXV. Brave new equivariant algebra (by J. P. C. Greenlees and J. P. May)
Chapter XXVI. Localization and completion in complex bordism (by J. P. C. Greenlees and J. P. May)
Chapter XXVII. A completion theorem in complex cobordism (by G. Comezana and J. P. May)
Chapter XXVIII. Calculations in complex equivariant bordism (by G. Comezaña)