Models in which every nonmeager set is nonmeager in a nowhere dense Cantor set

Details Models in which every nonmeager set is nonmeager in a nowhere dense Cantor set Models in which every nonmeager set is nonmeager in a nowhere dense Cantor set

2003-11-25

arxiv.org/abs/math/0311443v1

Mathematics

Logic

LaTex2e, 12 pages

Scientific paper

We prove that it is relatively consistent with ZFC that in any perfect Polish
space, for every nonmeager set A there exists a nowhere dense Cantor set C such
that A intersect C is nonmeager in C. We also examine variants of this result
and establish a measure theoretic analog.

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