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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the cohomology of generalized homogeneous spaces


Authors: J. P. May and F. Neumann
Journal: Proc. Amer. Math. Soc. 130 (2002), 267-270
MSC (2000): Primary 55T20, 57T15, 57T35; Secondary 55P35, 55P45
Published electronically: July 25, 2001
MathSciNet review: 1855645
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Abstract | References | Similar Articles | Additional Information

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 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.


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Additional Information

J. P. May
Affiliation: Department of Mathematics, The University of Chicago, Chicago, Illinois 60637
Email: may@math.uchicago.edu

F. Neumann
Affiliation: Mathematisches Institut der Georg-August-Universität, Göttingen, Germany
Email: neumann@uni-math.gwdg.de

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06372-9
PII: S 0002-9939(01)06372-9
Received by editor(s): May 19, 2000
Published electronically: July 25, 2001
Additional Notes: The first author was partially supported by the NSF
Communicated by: Ralph Cohen
Article copyright: © Copyright 2001 American Mathematical Society