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

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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.
LaTex2e, 12 pages

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Logic, 03E35

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http://salesiana.dossiersoluciones.com/handle/123456789/69338

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311443
 http://arxiv.org/abs/math/0311443

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arXiv