arXiv:math/0009047 Abstract

arXiv:math/0009047 [math.LO]Abstract References Reviews Resources

A space with only Borel subsets

Published 2000-09-05Version 1

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.

Categories: math.LO, math.GN

Keywords: borel subsets, cardinality kappa, martins axiom, answer laczkovich, miklos laczkovich

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