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

Volodymyr Maslyuchenko

Volodymyr Maslyuchenko

Chernivtsi National University, Department of Mathematical AnalysisChernivtsi, Ukraine
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Maslyuchenko, Volodymyr
, 
Oksana Myronyk

Oksana Myronyk

Chernivtsi National University, College CHNUChernivtsi, Ukraine
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Myronyk, Oksana
 e 
Olha Filipchuk

Olha Filipchuk

Chernivtsi National University, Department of Mathematical Problems of Control and CyberneticsChernivtsi, Ukraine
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Filipchuk, Olha
  
18 nov 2017
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Pubblicato online: 18 nov 2017
Pagine: 47 - 58
Ricevuto: 03 feb 2016
DOI: https://doi.org/10.1515/tmmp-2017-0004
Parole chiave
© 2017 Volodymyr Maslyuchenko et al., published by De Gruyter Open
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 on joint continuity of separately continuous functions of several variables involving the previous results of several authors.

Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Matematica, Matematica generale
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