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On the notion of residual finiteness for G-spaces

Published online by Cambridge University Press:  09 April 2009

Aniruddha C. Naolekar
Affiliation:
Stat.-Math. Unit, Indian Statistical Institute, 203, B. T. Road, Calcutta 700035, India e-mail: [email protected], [email protected]
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Abstract

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We define equivariant completion of a G-complex and define residually finite G-spaces. We show that the group of G-homotopy classes of G-homotopy self equivalences of a finite, residually finite G-complex, in residually finite. This generalizes some results of Roitberg.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2002

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