Separately continuous mappings with values in nonlocally convex spaces
Abstract
We prove that the collection $(X, Y, Z)$ is the Lebesgue triple if $X$ is a metrizable space, $Y$ is a perfectly normal space, and $Z$ is a strongly $\sigma$-metrizable topological vector space with stratification $(Z_m)^{\infty}_{m=1}$, where, for every $m \in \mathbb{N}$, $Z_m$ is a closed metrizable separable subspace of $Z$ arcwise connected and locally arcwise connected.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 12, pp 1840-1849.
Citation Example: Karlova O. O., Maslyuchenko V. K. Separately continuous mappings with values in nonlocally convex spaces // Ukr. Mat. Zh. - 2007. - 59, № 12. - pp. 1639–1646.
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