On the cohomology of generalized homogeneous spaces

JP May, F Neumann - Proceedings of the American Mathematical Society, 2002 - ams.org
JP May, F Neumann
Proceedings of the American Mathematical Society, 2002ams.org
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 cohomology 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. References
Abstract
We observe that work of Gugenheim and May on the cohomology of classical homogeneous spaces of Lie groups applies verbatim to the calculation of the cohomology of generalized homogeneous spaces , where is a finite loop space or a -compact group and is a “subgroup” in the homotopical sense. References
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