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arxiv: math/9907137 · v1 · submitted 1999-07-22 · 🧮 math.LO

Strongly meager and strong measure zero sets

classification 🧮 math.LO
keywords meagersetsidealmeasurestrongstronglyzeroadditivity
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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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