MA(σ-centered): Cohen reals, strong measure zero sets and strongly meager sets

Haim Judah; Saharon Shelah

doi:10.1007/BF02764965

MA(σ-centered): Cohen reals, strong measure zero sets and strongly meager sets

Haim Judah^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

6 Scopus citations

Abstract

We prove that MA(σ-centered) + the Dual Borel Conjecture is consistent; and that MA(σ-centered) + the non-additivity of the ideal of the strong measure zero sets also is consistent.

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Israel Journal of Mathematics
Volume	68
Issue number	1
DOIs	https://doi.org/10.1007/BF02764965
State	Published - Feb 1989

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title = "MA(σ-centered): Cohen reals, strong measure zero sets and strongly meager sets",

abstract = "We prove that MA(σ-centered) + the Dual Borel Conjecture is consistent; and that MA(σ-centered) + the non-additivity of the ideal of the strong measure zero sets also is consistent.",

author = "Haim Judah and Saharon Shelah",

year = "1989",

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AB - We prove that MA(σ-centered) + the Dual Borel Conjecture is consistent; and that MA(σ-centered) + the non-additivity of the ideal of the strong measure zero sets also is consistent.

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MA(σ-centered): Cohen reals, strong measure zero sets and strongly meager sets

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