Points of Continuity of Quasi-Continuous Functions-Reference-Cited by-同舟云学术

Points of Continuity of Quasi-Continuous Functions

Published:2020-11-04 Issue:1 Volume:76 Page:53-62
ISSN:1210-3195
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Neghaban Marzieh¹,Mirmostafaee Alireza Kamel²

Affiliation:

1. Department of Pure Mathematics , School of Mathematical Sciences , Ferdowsi University of Mashhad , Iran

2. Center of Excellence in Analysis on Algebraic Structures , Department of Pure Mathematics , School of Mathematical Sciences , Ferdowsi University of Mashhad , Iran

Abstract

Abstract We study points of joint continuity of multi-variable separately quasi-continuous functions which are continuous with respect to one variable. We will show that the assumption of complete regularity in the paper of V. Maslyuchenko et al in ”Tatra Mt. Math. Pub. 68, (2017), 47–58” can be removed in some situations. Moreover, we use a topological game argument to prove that the set of points of continuity of functions with closed graph into ωΔ-spaces is a Gδ subset of its domain provided that its domain is a W-space.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2020-0017

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