On Weakly Measurable Functions
Volume 53 / 2005
Bulletin Polish Acad. Sci. Math. 53 (2005), 421-428
MSC: 03E35, 03E75.
DOI: 10.4064/ba53-4-7
Abstract
We show that if $T$ is an uncountable Polish space, $\mathcal{X}$ is a metrizable space and $f:T\rightarrow\mathcal{X}$ is a weakly Baire measurable function, then we can find a meagre set $M\subseteq T$ such that $f[T\setminus M]$ is a separable space. We also give an example showing that “metrizable” cannot be replaced by “normal”.
