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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
8
votes
Borel coloring of a graph on the set of all functions $f:\mathbb{N}\to\mathbb{N}$
No. Otherwise there is a Borel non meager set $B$ such that for every $k$, $B + e_k$ is disjoint with $B$. $B$ is comeager in some basic clopen set $C$. Choose $k$ larger than the support of $C$, then …