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

DOI:
https://doi.org/10.1090/S0002-9939-01-06372-9

Published electronically:
July 25, 2001

MathSciNet review:
1855645

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.

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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:
https://doi.org/10.1090/S0002-9939-01-06372-9

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