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Finite generation of equivariant cohomology for a p-compact group G

Published online by Cambridge University Press:  17 April 2009

Hyang-Sook Lee
Affiliation:
Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea e-mail: hsl@mm.ewha.ac.kr
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Abstract

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For a p-compact group G and G-space X, we prove the finite generation of the equivariant cohomology and give the form of the Poincaré series of .

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1998

References

[1]Bousfield, A.K. and Kan, D.K., Homotopy limits, completions and localizations, Lecture Notes in Math. 304 (Springer-Verlag, Berlin, 1972).Google Scholar
[2]Dwyer, W.G. and Wilkerson, C.W., ‘Homotopy fixed point methods for Lie groups and finite loop spaces’, Ann. of Math. 139 (1994), 395442.CrossRefGoogle Scholar
[3]Quillen, D., ‘The spectrum of an equivariant cohomology ring I’, Ann. of Math. 94 (1991), 549572.CrossRefGoogle Scholar