Strongly Meager Sets Do Not Form an Ideal

Journal of Mathematical Logic 1 (1):1-34 (2001)
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Abstract

A set X⊆ℝ is strongly meager if for every measure zero set H, X+H ≠ℝ. Let [Formula: see text] denote the collection of strongly meager sets. We show that assuming [Formula: see text], [Formula: see text] is not an ideal.

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References found in this work

Every Sierpiński set is strongly meager.Janusz Pawlikowski - 1996 - Archive for Mathematical Logic 35 (5-6):281-285.

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