On the cohomology of homogeneous spaces of finite loop spaces and the Eilenberg–Moore spectral sequence
F Neumann - Journal of Pure and Applied Algebra, 1999 - Elsevier
Journal of Pure and Applied Algebra, 1999•Elsevier
We prove a collapse theorem for the Eilenberg–Moore spectral sequence and as an
application we show that under certain conditions the cohomology of a homogeneous space
of a connected finite loop space with a maximal rank torsion free subgroup is concentrated
in even degrees and torsionfree, generalizing classical theorems for compact Lie groups of
Borel and Bott.
application we show that under certain conditions the cohomology of a homogeneous space
of a connected finite loop space with a maximal rank torsion free subgroup is concentrated
in even degrees and torsionfree, generalizing classical theorems for compact Lie groups of
Borel and Bott.
We prove a collapse theorem for the Eilenberg–Moore spectral sequence and as an application we show that under certain conditions the cohomology of a homogeneous space of a connected finite loop space with a maximal rank torsion free subgroup is concentrated in even degrees and torsionfree, generalizing classical theorems for compact Lie groups of Borel and Bott.
Elsevier
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