Models in Which Every Nonmeager Set is Nonmeager in a Nowhere Dense Cantor Set
نویسندگان
چکیده
منابع مشابه
Models in which every nonmeager set is nonmeager in a nowhere dense Cantor set
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∩C is nonmeager in C. We also examine variants of this result and establish a measure theoretic analog.
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2005
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2005-044-x