Another note on Kempisty's generalized continuity

J. P. Lee and Z. Piotrowski

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-7

Abstract:

Under a fairly mild completeness condition on spaces Y and Z we show that every x -continuous function f : X × Y × Z → M has a “substantial” set C ( f ) of points of continuity. Some odds and ends concerning a related earlier result shown by the authors are presented. Further, a generalization of S . Kempisty's ideas of generalized continuity on products of finitely many spaces is offered. As a corollary from the above results, a partial answer to M . Talagrand's problem is provided.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:158729

DOI: 10.1155/S0161171288000808

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