The RO(G)-graded serre spectral sequence

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 = Z/2 where the spectral sequence is used to compute the cohomology of certain projective bundles and loop spaces. © 2010, International Press.