J.Peter May, Frank Neumann
On the cohomology of generalized homogeneous spaces
Preprint series: Mathematica Gottingensis

MSC:

55P35 Loop spaces

57T35 Applications of Eilenberg-Moore spectral sequences

57T15 Homology and cohomology of homogeneous spaces of Lie groups

Abstract: We observe that work of Gugenheim and May on the cohomology
of classical homogeneous spaces $G/H$ of Lie groups applies
verbatim to the calculation of the cohomolgy of generalized homogeneous
spaces $G/H$, where $G$ is a finite loop space or a $p$-compact
group and $H$ is a "subgroup" in the homotopical sense


Keywords: Cohomology of homogeneous Spaces, Loop Spaces, Eilenberg-Moore spectral sequence