On kempisty's generalized continuity

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1985 English Publisher:Springer Science and Business Media LLCJournal:Rendiconti del Circolo Matematico di Palermo, volume 34, pages 380-386 (issn: 0009-725X, eissn: 1973-4409,

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Authors: Lee, J. P.; Piotrowski, Z.;

doi: 10.1007/bf02844532

On kempisty's generalized continuity

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Abstract

\textit{S. Kempisty} introduced the notion of quasicontinuity [Fundam. Math. 19, 184-197 (1932; Zbl 0005.19802)] and showed its importance in problems involving separate versus joint continuity. The authors study an analogue of symmetric quasicontinuity of a function defined on the product of three spaces. Several earlier results are generalized.

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Keywords

separate continuity, Weak and generalized continuity, first category, Baire space, \(G_{\delta }\) subset, joint continuity, symmetric quasicontinuity

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