Strongly Meager Sets Do Not Form an Ideal

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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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10.1142/s0219061301000028

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Citations of this work

Strongly meager sets of size continuum.Tomek Bartoszynski & Saharon Shelah - 2003 - Archive for Mathematical Logic 42 (8):769-779.

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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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