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.