Cohen real and disjoint refinement of perfect sets

Miroslav Repický

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 1, page 179-181
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Repický, Miroslav. "Cohen real and disjoint refinement of perfect sets." Commentationes Mathematicae Universitatis Carolinae 41.1 (2000): 179-181. <http://eudml.org/doc/248597>.

@article{Repický2000,
abstract = {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.},
author = {Repický, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Sacks forcing; Cohen real; disjoint refinement; Sacks forcing; Cohen real; disjoint refinement; perfect sets},
language = {eng},
number = {1},
pages = {179-181},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Cohen real and disjoint refinement of perfect sets},
url = {http://eudml.org/doc/248597},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Repický, Miroslav
TI - Cohen real and disjoint refinement of perfect sets
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 1
SP - 179
EP - 181
AB - 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.
LA - eng
KW - Sacks forcing; Cohen real; disjoint refinement; Sacks forcing; Cohen real; disjoint refinement; perfect sets
UR - http://eudml.org/doc/248597
ER -

References

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  1. Balcar B., Simon P., Disjoint refinement, in: Handbook of Boolean Algebras2 J.D. Monk and R. Bonnet North-Holland Amsterdam (1989), 334-386. (1989) MR0991597
  2. Judah H., Miller A. W., Shelah S., Sacks forcing, Laver forcing, and Martin's axiom, Arch. Math. Logic 31 (1992), 145-161. (1992) Zbl0755.03026MR1147737

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