The set of second iterates is nowhere dense in $C$
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: Proceedings of the American Mathematical Society
سال: 1991
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1991-1033961-5