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On the notion of residual finiteness for G-spaces

Part of: Homotopy theory

Published online by Cambridge University Press:  09 April 2009

Goutam Mukherjee  and
Aniruddha C. Naolekar
Aniruddha C. Naolekar
Affiliation:
Stat.-Math. Unit, Indian Statistical Institute, 203, B. T. Road, Calcutta 700035, India e-mail: goutam@isical.ac.in, anirudha@isical.ac.in
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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.

Keywords

equivariant completionresidually finite G-spacesresidually finite groupsHopfian groups

MSC classification

Secondary: 55P60: Localization and completion 57S17: Finite transformation groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 73 , Issue 3 , December 2002 , pp. 347 - 356
Copyright
Copyright © Australian Mathematical Society 2002

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