On Kempisty's generalized continuity
type: Item
instance of: scholarly article
title: On Kempisty's generalized continuity
zbMATH Open document ID: 0602.54012
DOI: 10.1007/BF02844532
author: B. George
publication date: 1985-01-01T00:00:00Z
review text: \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.
Mathematics Subject Classification ID: 54C08
zbMATH DE Number: 3971716
zbMATH Keywords: Baire space
zbMATH Keywords: first category
zbMATH Keywords: \(G_{\delta }\) subset
zbMATH Keywords: joint continuity
zbMATH Keywords: separate continuity
zbMATH Keywords: symmetric quasicontinuity
reviewed by: S. Naimpally
MaRDI profile type: Publication
cites work: Q4113079
cites work: Sur les fonctions quasicontinues
cites work: Sur les fonctions quasicontinues au sens de S. Kempisty
cites work: Quasi-continuous functions on product spaces
cites work: Q4147259
cites work: Cartesian products of Baire spaces
cites work: Q3746485
cites work: Q3938863
full work available at URL: https://doi.org/10.1007/bf02844532
OpenAlex ID: W2000485828
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 3971716