Geodesic
Property (G), Regularity, and Semi-Equicontinuity
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 587-594

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

This note, motivated by [2], [3], and [4], is devoted to an investigation of properties related to equicontinuity in function spaces of topological spaces. In §2, we study the property (G) defined in [3], and the regularity defined in [4]. A sufficient condition for the simultaneous continuity of a function of two variables, which is analogous to a well known result in equicontinuity, is given at the end of the section. In §3, we relate the regularity with the semi-equicontinuity defined in [2], by localizing the semi-equicontinuity in an obvious way which leads us to weaken some of the hypotheses used in [2]. By the way of constructing an example, we also obtained a sufficient condition for a regular semitopological group to be a topological group. 
Yang, J. S. Property (G), Regularity, and Semi-Equicontinuity. Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 587-594. doi: 10.4153/CMB-1973-096-9
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