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Continuity of separately continuous mappings

In: Mathematica Slovaca, vol. 64, no. 4
Alireza Kamel Mirmostafaee
Detaily:
Rok, strany: 2014, 1019 - 1026
Kľúčové slová:
joint continuity, separate continuity, topological games, developable spaces
O článku:
By means of a topological game, a class of topological spaces which contains compact spaces, $q$-spaces and $W$-spaces was defined in [BOUZIAD, A.: The Ellis theorem and continuity in groups, Topology Appl. 50 (1993), 73–80]. We will show that if $Y$ belongs to this class, every separately continuous function $f:X× Y\to Z$ is jointly continuous on a dense subset of $X × Y$ provided that $X$ is $σ$-$β$-unfavorable and $Z$ is a regular weakly developable space.
Ako citovať:
ISO 690:
Mirmostafaee, A. 2014. Continuity of separately continuous mappings. In Mathematica Slovaca, vol. 64, no.4, pp. 1019-1026. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0255-1

APA:
Mirmostafaee, A. (2014). Continuity of separately continuous mappings. Mathematica Slovaca, 64(4), 1019-1026. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0255-1
O vydaní: