Lee, J. P.; Piotrowski, Z. Another note on Kempisty’s generalized continuity. (English) Zbl 0674.54007 Int. J. Math. Math. Sci. 11, No. 4, 657-664 (1988). In the fundamental theorem the authors show that, under some assumptions on the spaces X, Y, Z and M, for any x-continuous function f: \(X\times Y\times Z\to M\), the set of all continuity points of f is a dense \(G_{\delta}\) subset in \(\{\) \(x\}\) \(\times X\times Z\) for each \(x\in X\). Some examples connected with x-continuity and quasi-continuity are also included. The authors give a partial solution to a problem of M. Talagrand. Reviewer: R.Pawlak Cited in 2 Documents MSC: 54C08 Weak and generalized continuity 54C30 Real-valued functions in general topology Keywords:separate continuity; joint continuity; Baire spaces; x-continuity; quasi- continuity PDFBibTeX XMLCite \textit{J. P. Lee} and \textit{Z. Piotrowski}, Int. J. Math. Math. Sci. 11, No. 4, 657--664 (1988; Zbl 0674.54007) Full Text: DOI EuDML