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arxiv: math/9905123 · v1 · submitted 1999-05-19 · 🧮 math.LO

Closed measure zero sets

classification 🧮 math.LO
keywords setsclosedmeasurezeroadditivityidealmeagerbigger
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We study the relationship between the sigma-ideal generated by closed measure zero sets and the ideals of null and meager sets. We show that the additivity of the ideal of closed measure zero sets is not bigger than covering for category. As a consequence we get that the additivity of the ideal of closed measure zero sets is equal to the additivity of the ideal of meager sets.

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