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I am looking for a Theorem by Kuratowski stating something like:

For any two Polish Spaces $A,B$ there are meager sets $M_1 \subseteq A$, $M_2 \subseteq B$ and a homeomorphism $f: A \setminus M_1 \rightarrow B \setminus M_2$.

Does anybody know the title of the original paper and where to find it - or another source?

Thanks.

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