When does restricted continuity on continuous function graphs imply joint continuity?
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- by John P. Dalbec PDF
- Proc. Amer. Math. Soc. 118 (1993), 669-674 Request permission
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.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 669-674
- MSC: Primary 26B05; Secondary 54C05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1129876-6
- MathSciNet review: 1129876