Closed measure zero sets

Tomek Bartoszynski; Saharon Shelah

doi:10.1016/0168-0072(92)90001-G

Closed measure zero sets

Tomek Bartoszynski
, Saharon Shelah

Mathematics Department

Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

Bartoszynski, T. and S. Shelah, Closed measure zero sets, Annals of Pure and Applied Logic 58 (1992) 93-110. We study the relationship between the σ-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.

Original language	English
Pages (from-to)	93-110
Number of pages	18
Journal	Annals of Pure and Applied Logic
Volume	58
Issue number	2
DOIs	https://doi.org/10.1016/0168-0072(92)90001-G
State	Published - 28 Sep 1992

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title = "Closed measure zero sets",

abstract = "Bartoszynski, T. and S. Shelah, Closed measure zero sets, Annals of Pure and Applied Logic 58 (1992) 93-110. We study the relationship between the σ-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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AB - Bartoszynski, T. and S. Shelah, Closed measure zero sets, Annals of Pure and Applied Logic 58 (1992) 93-110. We study the relationship between the σ-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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Closed measure zero sets

Abstract

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