Dual Borel Conjecture and Cohen reals

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Journal of Symbolic Logic 75 (4):1293-1310 (2010)
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Abstract

We construct a model of ZFC satisfying the Dual Borel Conjecture in which there is a set of size ℵ₁ that does not have measure zero

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10.2178/jsl/1286198147

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The borel conjecture.Haim Judah, Saharon Shelah & W. H. Woodin - 1990 - Annals of Pure and Applied Logic 50 (3):255-269.

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