Separately continuous mappings with values in nonlocally convex spaces

  • O. O. Karlova
  • V. K. Maslyuchenko


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.
How to Cite
Karlova, O. O., and V. K. Maslyuchenko. “Separately Continuous Mappings With Values in Nonlocally Convex Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 12, Dec. 2007, pp. 1639–1646,
Research articles