<abstract xmlns="http://www.w3.org/1999/xhtml">We prove general theorems on quasi-continuity of mappings <italic>f</italic> : <italic>X</italic>1 × ⋯ × <italic>Xn</italic> → <italic>Z</italic> with values in a completely regular space <italic>Z</italic>. As consequences, we obtain results on joint continuity of separately continuous functions of several variables involving the previous results of several authors.</abstract>

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

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

Department of Mathematical Problems of Control and Cybernetics

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We prove general theorems on quasi-continuity of mappings f : X1 × ⋯ × Xn → Z with values in a completely regular space Z. As consequences, we obtain results...

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

Published Online: Nov 18, 2017

Page range: 47 - 58

Received: Feb 03, 2016

DOI: https://doi.org/10.1515/tmmp-2017-0004

Keywords
separately continuous mapping, quasi-continuous mapping

© 2017 Volodymyr Maslyuchenko et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Nov 18, 2017

Page range: 47 - 58

Received: Feb 03, 2016

DOI: https://doi.org/10.1515/tmmp-2017-0004

Keywordsseparately continuous mapping, quasi-continuous mapping

© 2017 Volodymyr Maslyuchenko et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
separately continuous mapping, quasi-continuous mapping