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When does restricted continuity on continuous function graphs imply joint continuity?

Author: John P. Dalbec
Journal: Proc. Amer. Math. Soc. 118 (1993), 669-674
MSC: Primary 26B05; Secondary 54C05
MathSciNet review: 1129876
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Abstract: We generalize a result of Luzin about real functions of real variables --that $ F(x,y)$ is jointly continuous if and only if $ F(x,f(x))$ is continuous for every continuous $ f$--to functions among certain classes of topological spaces.

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