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- W3102835321 abstract "We prove that a function $f:Xto Y$ from a first-countable (more generally, Preiss-Simon) space $X$ to a regular space $Y$ is weakly discontinuous (which means that every subspace $Asubset X$ contains an open dense subset $Usubset A$ such that $f|U$ is continuous) if and only if $f$ is open-resolvable (in the sense that for every open subset $Usubset Y$ the preimage $f^{-1}(U)$ is a resolvable subset of $X$) if and only if $f$ is resolvable (in the sense that for every resolvable subset $Rsubset Y$ the preimage $f^{-1}(R)$ is a resolvable subset of $X$). For functions on metrizable spaces this characterization was announced (without proof) by Vinokurov in 1985." @default.
- W3102835321 created "2020-11-23" @default.
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- W3102835321 date "2017-01-01" @default.
- W3102835321 modified "2023-09-27" @default.
- W3102835321 title "Weakly discontinuous and resolvable functions between topological spaces" @default.
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- W3102835321 doi "https://doi.org/10.15672/hjms.2016.399" @default.
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