## A Sheaf-Theoretic Approach to the Equivariant Serre Spectral Sequence

J. Math. Sci. Univ. Tokyo
Vol. 4 (1997), No. 1, Page 53--65.

Honkasalo, Hannu
A Sheaf-Theoretic Approach to the Equivariant Serre Spectral Sequence

Abstract:
Let $\,G\,$ be a finite group and $\,f:Y\to X\,$ a Hurewicz $\,G$-fibration. Using sheaf-theoretic methods, we show that, under suitable assumptions on the $\,G$-spaces $\,X\,$ and $\,Y\,$, the equivariant cohomology of $\,Y\,$ is the limit of a spectral sequence, whose $\,E_2$-term is given by the equivariant cohomology of $\,X\,$ with coefficient system depending on the equivariant cohomology of the fibre of $\,f\,$.

Mathematics Subject Classification (1991): 55T10, 55N91, 55N30
Mathematical Reviews Number: MR1451303