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.
@article{119152,
author = {Miroslav Repick\'y},
title = {Cohen real and disjoint refinement of perfect sets},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {41},
year = {2000},
pages = {179-181},
zbl = {1035.03027},
mrnumber = {1756938},
language = {en},
url = {http://dml.mathdoc.fr/item/119152}
}
Repický, Miroslav. Cohen real and disjoint refinement of perfect sets. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 179-181. http://gdmltest.u-ga.fr/item/119152/
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