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Jeux topologiques et points de continuité d’une application séparément continue. (Topological games and points of continuity of separately continuous maps). (French) Zbl 0701.90110
We give simplified proofs of two results concerning the existence of continuous points of separately continuous maps. The first is a theorem by J. Saint-Raymond [Proc. Am. Math. Soc. 87, 499-504 (1983; Zbl 0511.54007)] which generalizes a classical theorem of I. Namioka [Pac. J. Math. 51, 515-531 (1974; Zbl 0294.54010)]. The second is a result of G. Debs [Topology Appl. 23, 299-303 (1986; Zbl 0613.54007)] on the co-Namioka compact spaces.
Reviewer: A.Bouziad

91A44 Games involving topology, set theory, or logic
54C05 Continuous maps