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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69338We 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.LaTex2e, 12 pagesLogic03E35Models in which every nonmeager set is nonmeager in a nowhere dense Cantor settext