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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)