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Closed measure zero sets. (English) Zbl 0764.03018
Summary: 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.

MSC:
03E35 Consistency and independence results
03E05 Other combinatorial set theory
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
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