Geodesic
On the Irregular Sets of a Transformation Group
Canadian mathematical bulletin, Tome 16 (1973) no. 2, pp. 225-232

Voir la notice de l'article provenant de la source Cambridge University Press

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
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