Geodesic
On Weakly Measurable Functions
Szymon Żeberski1
1 Institute of Mathematics University of Wroc/law Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 4, pp. 421-428.

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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”.
DOI : 10.4064/ba53-4-7
Keywords: uncountable polish space mathcal metrizable space rightarrow mathcal weakly baire measurable function meagre set subseteq setminus separable space example showing metrizable cannot replaced normal

Szymon Żeberski 1

1 Institute of Mathematics University of Wroc/law Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland 
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Szymon Żeberski. On Weakly Measurable Functions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 4, pp. 421-428. doi : 10.4064/ba53-4-7. http://geodesic.mathdoc.fr/articles/10.4064/ba53-4-7/

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