J. Aust. Math. Soc.
73 (2002), 347-355
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On the notion of residual finiteness for G-spaces
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Goutam Mukherjee
Stat.-Math. Unit
Indian Statistical Institute
203, B. T. Road
Calcutta 700035
India
goutam@isical.ac.in
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Aniruddha C. Naolekar
Stat.-Math. Unit
Indian Statistical Institute
203, B. T. Road
Calcutta 700035
India
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, is residually finite. This generalizes
some results of Roitberg.
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