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Article

Repický, Miroslav
Cohen real and disjoint refinement of perfect sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 1, pp. 179-181
MSC: 03E05, 03E40 | MR 1756938 | Zbl 1035.03027
Keywords:
Sacks forcing; Cohen real; disjoint refinement
Summary:
We prove that if there exists a Cohen real over a model, then the family of perfect sets coded in the model has a disjoint refinement by perfect sets.
References:
[1] Balcar B., Simon P.: Disjoint refinement. in: Handbook of Boolean Algebras2 J.D. Monk and R. Bonnet North-Holland Amsterdam (1989), 334-386. MR 0991597
[2] Judah H., Miller A. W., Shelah S.: Sacks forcing, Laver forcing, and Martin's axiom. Arch. Math. Logic 31 (1992), 145-161. MR 1147737 | Zbl 0755.03026
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