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Nowhere dense subsets and Booth's Lemma

Viacheslav I. Malykhin (1996)

Commentationes Mathematicae Universitatis Carolinae

The following statement is proved to be independent from [ LB + ¬ CH ] : ( * ) Let X be a Tychonoff space with c ( X ) 0 and π w ( X ) < . Then a union of less than of nowhere dense subsets of X is a union of not greater than π w ( X ) of nowhere dense subsets.

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