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Subjects
54-XX General topology
54Cxx Maps and general types of spaces defined by maps
54C05 Continuous maps

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Diagonals of separately continuous functions of $n$ variables with values in strongly $σ$ -metrizable spaces

Olena Karlova, Volodymyr Mykhaylyuk, Oleksandr Sobchuk (2016)

Commentationes Mathematicae Universitatis Carolinae

We prove the result on Baire classification of mappings $f : X \times Y \to Z$ which are continuous with respect to the first variable and belongs to a Baire class with respect to the second one, where $X$ is a $P P$ -space, $Y$ is a topological space and $Z$ is a strongly $σ$ -metrizable space with additional properties. We show that for any topological space $X$ , special equiconnected space $Z$ and a mapping $g : X \to Z$ of the $(n - 1)$ -th Baire class there exists a strongly separately continuous mapping $f : X^{n} \to Z$ with the diagonal $g$ . For wide classes of spaces...

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Page 1

Displaying 1 – 1 of 1

Diagonals of separately continuous functions of n variables with values in strongly σ -metrizable spaces

Currently displaying 1 – 1 of 1

Diagonals of separately continuous functions of $n$ variables with values in strongly $σ$ -metrizable spaces