### A space with only Borel subsets

by Shelah. [Sh:730]

Periodica Math Hungarica, 2000

Miklos Laczkovich asked if there exists a Haussdorff (or even
normal) space in which every subset is Borel yet it is not meager.
The motivation of the last condition is that under MA_kappa
every subspace of the reals of cardinality kappa has the property
that all subsets are F_sigma however Martin's axiom also
implies that these subsets are meager. Here we answer Laczkovich'
question.

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