Functions of the first Baire class with values in metrizable spaces
AbstractWe show that every mapping of the first functional Lebesgue class that acts from a topological space into a separable metrizable space that is linearly connected and locally linearly connected belongs to the first Baire class. We prove that the uniform limit of functions of the first Baire class $f_n : \; X \rightarrow Y$ belongs to the first Baire class if $X$ is a topological space and $Y$ is a metric space that is linearly connected and locally linearly connected.
How to Cite
Karlova, O. O., and V. V. Mykhailyuk. “Functions of the First Baire Class With Values in Metrizable Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 4, Apr. 2006, pp. 568–572, https://umj.imath.kiev.ua/index.php/umj/article/view/3475.