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Dual Borel Conjecture and Cohen reals

  • Tomek Bartoszynski (a1) and Saharon Shelah (a2)

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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[1]Bartoszynski, Tomek and Judah, Haim, Set Theory: on the structure of the real line, A. K. Peters, 1995.
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[5]Laver, Richard, On the consistency of Borel's conjecture, Acta Mathematica, vol. 137 (1976), no. 3-4, pp. 151169.
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[8]Rosłanowski, Andrzej and Shelah, Saharon, Norms on possibilities I: forcing with trees and creatures, Memoirs of the American Mathematical Society, American Mathematical Society, 1999.
[9]Shelah, Saharon, Proper and improper forcing, Perspectives in Logic, Springer-Verlag, 1998.
[10]Shelah, Saharon, Non-Cohen oracle c.c.c., Journal of Applied Analysis, vol. 12 (2006), pp. 117.

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Dual Borel Conjecture and Cohen reals

  • Tomek Bartoszynski (a1) and Saharon Shelah (a2)

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