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On the Irregular Sets of a Transformation Group

Published online by Cambridge University Press:  20 November 2018

S. K. Kaul
S. K. Kaul*
Affiliation:
University of Saskatchewan, Regina Saskatchewan
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We assume throughout that (X, T, π) is a transformation group [2], where X is a topological space which is always assumed to be regular and Hausdorff. We call a point x ∊ X regular under T if for any open set U in X and any subset G of T such that , there exists an open set V containing x, such that VG ⊆ U [7]. Let R(X) denote the interior of the set of all the regular points of X under T, and I(X) the set of irregular points of X under T, that is the set of points which are not regular under T.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 2 , June 1973 , pp. 225 - 232
Copyright
Copyright © Canadian Mathematical Society 1973

References

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