J. P. Lee, Z. Piotrowski, "Another note on Kempisty's generalized continuity", International Journal of Mathematics and Mathematical Sciences, vol. 11, Article ID 158729, 7 pages, 1988. https://doi.org/10.1155/S0161171288000808
Another note on Kempisty's generalized continuity
Under a fairly mild completeness condition on spaces and we show that every -continuous function has a substantial set of points of continuity. Some odds and ends concerning a related earlier result shown by the authors are presented. Further, a generalization of . 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 . Talagrand's problem is provided.
Copyright © 1988 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.