Joint Continuity of Separately Continuous Mappings with Values in Completely Regular Spaces-Reference-Cited by-同舟云学术

Joint Continuity of Separately Continuous Mappings with Values in Completely Regular Spaces

Published:2017-03-01 Issue:1 Volume:68 Page:47-58
ISSN:1210-3195
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Maslyuchenko Volodymyr¹,Myronyk Oksana²,Filipchuk Olha³

Affiliation:

1. Chernivtsi National University , Department of Mathematical Analysis , Kotsyubyns’ky Str. 2, 58012 Chernivtsi , Ukraine

2. Chernivtsi National University , College CHNU , Kotsyubyns’ky Str. 2, 58012 Chernivtsi , Ukraine

3. Chernivtsi National University , Department of Mathematical Problems of Control and Cybernetics , Kotsyubyns’ky Str. 2, 58012 Chernivtsi , Ukraine

Abstract

Abstract We prove general theorems on quasi-continuity of mappings f : X 1 × ⋯ × Xn → Z with values in a completely regular space Z. As consequences, we obtain results on joint continuity of separately continuous functions of several variables involving the previous results of several authors.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference61 articles.

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5. [5] BOUZIAD, A.—TROALLIC, J. P.: Lower quasicontinuity, joint continuity and related concepts, Topology Appl. 157 (2010), 2889–2894.

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