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. (C) 1999 Elsevier Science B.V. All rights reserved. AMS Classification. 55P35; 55T20; 57T15; 57T35.

On the cohomology of homogeneous spaces of finite loop spaces and the Eilenberg-Moore spectral sequence

Neumann, F
1999-01-01

Abstract

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. (C) 1999 Elsevier Science B.V. All rights reserved. AMS Classification. 55P35; 55T20; 57T15; 57T35.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1478905
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