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- W2338065547 abstract "We prove the result on Baire classification of mappings $f:Xtimes Yto Z$ 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 $PP$-space, $Y$ is a topological space and $Z$ is a strongly $sigma$-metrizable space with additional properties. We show that for any topological space $X$, special equiconnected space $Z$ and a mapping $g:Xto Z$ of the $(n-1)$-th Baire class there exists a strongly separately continuous mapping $f:X^nto Z$ with the diagonal $g$. For wide classes of spaces $X$ and $Z$ we prove that diagonals of separately continuous mappings $f:X^nto Z$ are exactly the functions of the $(n-1)$-th Baire class. An example of equiconnected space $Z$ and a Baire-one mapping $g:[0,1]to Z$, which is not a diagonal of any separately continuous mapping $f:[0,1]^2to Z$, is constructed." @default.
- W2338065547 created "2016-06-24" @default.
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- W2338065547 date "2016-04-13" @default.
- W2338065547 modified "2023-09-26" @default.
- W2338065547 title "Diagonals of separately continuous functions of $n$ variables with values in strongly $sigma$-metrizable spaces" @default.
- W2338065547 doi "https://doi.org/10.14712/1213-7243.2015.152" @default.
- W2338065547 hasPublicationYear "2016" @default.
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