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Strongly meager and strong measure zero sets

Tomek Bartoszynski·Saharon Shelah
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Abstract

We show that the following are consistent with ZFC: 1. Strongly meager sets form an ideal with the same additivity as the ideal of meager sets. 2. There exists a strong measure zero set of size > d (dominating number).

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Tomek Bartoszynski, Saharon Shelah. 1999-07-22. Strongly meager and strong measure zero sets. https://arxiv.org/abs/math/9907137

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