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  1. Strongly meager sets of size continuum.Tomek Bartoszynski & Saharon Shelah - 2003 - Archive for Mathematical Logic 42 (8):769-779.
    We will construct several models where there are no strongly meager sets of size 2ℵ0.
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  • There are no very meager sets in the model in which both the Borel Conjecture and the dual Borel Conjecture are true.Saharon Shelah & Wolfgang Wohofsky - 2016 - Mathematical Logic Quarterly 62 (4-5):434-438.
    We show that the model for the simultaneous consistency of the Borel Conjecture and the dual Borel Conjecture given in actually satisfies a stronger version of the dual Borel Conjecture: there are no uncountable very meager sets.
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