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

Volodymyr Maslyuchenko; Oksana Myronyk; Olha Filipchuk

doi:10.1515/tmmp-2017-0004

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

Tatra Mountains Mathematical Publications

Volume 68 (2017): Issue 1 (March 2017)

By: Volodymyr Maslyuchenko, Oksana Myronyk and Olha Filipchuk

Open Access

|Nov 2017

Abstract

We prove general theorems on quasi-continuity of mappings f : X₁ × ⋯ × X_n → 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.

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Articles in this issue

DOI: https://doi.org/10.1515/tmmp-2017-0004 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 47 - 58

Submitted on: Feb 3, 2016

Published on: Nov 18, 2017

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

separately continuous mapping,

quasi-continuous mapping

Related subjects:

Mathematics,

General mathematics

© 2017 Volodymyr Maslyuchenko, Oksana Myronyk, Olha Filipchuk, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 68 (2017): Issue 1 (March 2017)