Geodesic
Models in Which Every Nonmeager Set is Nonmeager in a Nowhere Dense Cantor Set
Canadian journal of mathematics, Tome 57 (2005) no. 6, pp. 1139-1154

Voir la notice de l'article provenant de la source Cambridge University Press

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 $A\,\cap \,C$ is nonmeager in $C$ . We also examine variants of this result and establish a measure theoretic analog.
DOI : 10.4153/CJM-2005-044-x
Mots-clés : Primary: 03E35, secondary: 03E17, 03E50, Property of Baire, Lebesgue measure, Cantor set, oracle forcing 
Burke, Maxim R.; Miller, Arnold W. Models in Which Every Nonmeager Set is Nonmeager in a Nowhere Dense Cantor Set. Canadian journal of mathematics, Tome 57 (2005) no. 6, pp. 1139-1154. doi: 10.4153/CJM-2005-044-x
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