Properties of forcing preserved by finite support iterations

Miroslav Repický

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 1, page 95-103
  • ISSN: 0010-2628

Abstract

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We shall investigate some properties of forcing which are preserved by finite support iterations and which ensure that unbounded families in given partially ordered sets remain unbounded.

How to cite

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Repický, Miroslav. "Properties of forcing preserved by finite support iterations." Commentationes Mathematicae Universitatis Carolinae 32.1 (1991): 95-103. <http://eudml.org/doc/247260>.

@article{Repický1991,
abstract = {We shall investigate some properties of forcing which are preserved by finite support iterations and which ensure that unbounded families in given partially ordered sets remain unbounded.},
author = {Repický, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {forcing; unbounded family; forcing; finite support iterations; unbounded families},
language = {eng},
number = {1},
pages = {95-103},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Properties of forcing preserved by finite support iterations},
url = {http://eudml.org/doc/247260},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Repický, Miroslav
TI - Properties of forcing preserved by finite support iterations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 1
SP - 95
EP - 103
AB - We shall investigate some properties of forcing which are preserved by finite support iterations and which ensure that unbounded families in given partially ordered sets remain unbounded.
LA - eng
KW - forcing; unbounded family; forcing; finite support iterations; unbounded families
UR - http://eudml.org/doc/247260
ER -

References

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  6. Ihoda J., Shelah S., The Lebesgue measure and the Baire property: Laver's reals, preservation theorem for forcing, completing a chart of Kunen-Miller, preprint. 
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  8. Kamburelis A., Iterations of Boolean algebras with measure, Arch. Math. Logic21-28 (1989),29. (1989) Zbl0687.03032MR1022984
  9. Krawczyk A., B ( m ) + A ( c ) A ( m ) , preprint. 
  10. Miller A. W., Some properties of measure and category, Trans. Amer. Math. Soc.93-114 (1981), 266. (1981) Zbl0472.03040MR0613787
  11. Raisonier J., Stern J., The strength of measurability hypothesis, Israel J. Math.337-349 (1985),50, 4. (1985) MR0800191
  12. Repický M., Porous sets and additivity of Lebesgue measure, Real Analysis Exchange, 1989-1990. MR1042544
  13. Truss J.K., Sets having caliber 1 , Proc. Logic Colloquium `76, Studies in Logic 595-612 (1977),87. (1977) MR0476513

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