Homology, Homotopy and Applications

The $RO(G)$-graded Serre spectral sequence

William C. Kronholm

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.

Article information

Source
Homology Homotopy Appl., Volume 12, Number 1 (2010), 75-92.

Dates
First available in Project Euclid: 28 January 2011

Kronholm, William C. The $RO(G)$-graded Serre spectral sequence. Homology Homotopy Appl. 12 (2010), no. 1, 75--92. https://projecteuclid.org/euclid.hha/1296223823