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2010 The $RO(G)$-graded Serre spectral sequence
William C. Kronholm
Homology Homotopy Appl. 12(1): 75-92 (2010).

Abstract

In this paper the Serre spectral sequence of Moerdijk and Svensson is extended from Bredon cohomology to $RO(G)$-graded cohomology for finite groups $G$. Special attention is paid to the case $G= \mathbb{Z}/2$ where the spectral sequence is used to compute the cohomology of certain projective bundles and loop spaces.

Citation

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William C. Kronholm. "The $RO(G)$-graded Serre spectral sequence." Homology Homotopy Appl. 12 (1) 75 - 92, 2010.

Information

Published: 2010
First available in Project Euclid: 28 January 2011

zbMATH: 1195.55014
MathSciNet: MR2607411

Subjects:
Primary: 55N25 , 55N91 , 55T10

Keywords: Algebraic Topology , equivariant homology and cohomology , local coefficient , spectral sequence

Rights: Copyright © 2010 International Press of Boston

Vol.12 • No. 1 • 2010
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