Models in which every nonmeager set is nonmeager in ...
|Title||Models in which every nonmeager set is nonmeager in a nowhere dense Cantor set|
|Author(s)||Maxim R. Burke, A. W. Miller|
|Journal||Canadian Journal of Mathematics / Journal Canadien De Mathematiques|
|Abstract||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 boolean AND C is nonmeager in C. We also examine variants of this result and establish a measure theoretic analog.|
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