Geodesic
Cohen real and disjoint refinement of perfect sets
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 179-181.

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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.
Classification : 03E05, 03E40
Keywords: Sacks forcing; Cohen real; disjoint refinement 
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Repický, Miroslav. Cohen real and disjoint refinement of perfect sets. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 179-181. http://geodesic.mathdoc.fr/item/CMUC_2000__41_1_a16/