Geodesic
Pseudo-Compact Semi-Topological Groups
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 53-60 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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A semitopological group (topological group) is a group endowed with a topology for which multiplication is separately continuous (multiplication is jointly continuous and inversion is continuous). In this paper we give some topological conditions on a semitopological group that imply that it is a topological group. For example, we show that every separable pseudocompact group is a topological group. We also show that every locally pseudocompact group whose multiplication is jointly continuous is a topological group. *2010 Mathematics Subject Classification: Primary 22A10, 54E52, 54D30.
Keywords: Semitopological Group, Topological Group, Separate Continuity, Joint Continuity, Pseudo-Compactness, Topological Games, Quasi-Continuity 
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Choban, Mitrofan; Kenderov, Petar; Moors, Warren. Pseudo-Compact Semi-Topological Groups. Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 53-60. http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a0/