Separately continuous mappings with values in nonlocally convex spaces

• Date: 2007
• Main Authors: Karlova, O. O., Maslyuchenko, V. K., Карлова, О. О., Маслюченко, В. К.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3418
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 metriza...