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

Volodymyr Maslyuchenko
Volodymyr Maslyuchenko
, 
Oksana Myronyk
Oksana Myronyk
 et 
Olha Filipchuk
Olha Filipchuk
   | 18 nov. 2017
Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Édition 68 (2017): Edition 1 (March 2017)
Special Issue: Real Functions ’16, Real Functions, Density Topologies, Porosity
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Publié en ligne: 18 nov. 2017
Pages: 47 - 58
Reçu: 03 févr. 2016
DOI: https://doi.org/10.1515/tmmp-2017-0004
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© 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.

eISSN:
1210-3195
Langue:
Anglais
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Sujets de la revue:
Mathematics, General Mathematics
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