Another note on Kempisty's generalized continuity
type: Item
instance of: scholarly article
title: Another note on Kempisty's generalized continuity
zbMATH Open document ID: 0674.54007
DOI: 10.1155/S0161171288000808
author: S. H. Smith
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46382
review text: 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.
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 54C30
zbMATH DE Number: 4103944
zbMATH Keywords: separate continuity
zbMATH Keywords: joint continuity
zbMATH Keywords: Baire spaces
zbMATH Keywords: x-continuity
zbMATH Keywords: quasi- continuity
reviewed by: Ryszard Pawlak
MaRDI profile type: Publication
OpenAlex ID: W2029998652
description: scientific article; zbMATH DE number 4103944