On the Irregular Sets of a Transformation Group
Canadian mathematical bulletin, Tome 16 (1973) no. 2, pp. 225-232
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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.
Kaul, S. K. On the Irregular Sets of a Transformation Group. Canadian mathematical bulletin, Tome 16 (1973) no. 2, pp. 225-232. doi: 10.4153/CMB-1973-039-2
@article{10_4153_CMB_1973_039_2,
author = {Kaul, S. K.},
title = {On the {Irregular} {Sets} of a {Transformation} {Group}},
journal = {Canadian mathematical bulletin},
pages = {225--232},
year = {1973},
volume = {16},
number = {2},
doi = {10.4153/CMB-1973-039-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-039-2/}
}
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