Equivariant homotopy and cohomology theory : dedicated to the memory of Robert J. Piacenza / J.P. May ; with contributions by M. Cole ... [and others].

Format:

Book

Author/Creator:

May, J. Peter, author.

Contributor:

Piacenza, Robert John, 1943-

Cole, M.

Series:

CBMS Regional Conference Series in Mathematics, 2380-5668 ; v. 91

Language:

English

Subjects (All):

Homotopy theory.

Homology theory.

Physical Description:

1 online resource (xiii, 366 pages : illustrations)

Place of Publication:

Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1996.

System Details:

Mode of access : World Wide Web

Contents:

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. $G-{\rm CW}(V)$ 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)

Notes:

"Expository lectures from the NSF-CBMS Regional Conference held at the University of Alaska, Fairbanks, AK, August 2-6, 1993"--T.p. verso.

Includes bibliographical references (pages 353-360) and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: May, J. Peter. Equivariant homotopy and cohomology theory :

ISBN:

9781470424510 (online)

Access Restriction:

Restricted for use by site license.