On the existence of a σ -closed dense subset

Jindřich Zapletal

Commentationes Mathematicae Universitatis Carolinae (2010)

  • Volume: 51, Issue: 3, page 513-517
  • ISSN: 0010-2628

Abstract

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It is consistent with the axioms of set theory that there are two co-dense partial orders, one of them σ -closed and the other one without a σ -closed dense subset.

How to cite

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Zapletal, Jindřich. "On the existence of a $\sigma $-closed dense subset." Commentationes Mathematicae Universitatis Carolinae 51.3 (2010): 513-517. <http://eudml.org/doc/38147>.

@article{Zapletal2010,
abstract = {It is consistent with the axioms of set theory that there are two co-dense partial orders, one of them $\sigma $-closed and the other one without a $\sigma $-closed dense subset.},
author = {Zapletal, Jindřich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {forcing; sigma-closed dense subset; forcing; -closed dense subset},
language = {eng},
number = {3},
pages = {513-517},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of a $\sigma $-closed dense subset},
url = {http://eudml.org/doc/38147},
volume = {51},
year = {2010},
}

TY - JOUR
AU - Zapletal, Jindřich
TI - On the existence of a $\sigma $-closed dense subset
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2010
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 51
IS - 3
SP - 513
EP - 517
AB - It is consistent with the axioms of set theory that there are two co-dense partial orders, one of them $\sigma $-closed and the other one without a $\sigma $-closed dense subset.
LA - eng
KW - forcing; sigma-closed dense subset; forcing; -closed dense subset
UR - http://eudml.org/doc/38147
ER -

References

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  1. Foreman M., 10.2307/2273464, J. Symbolic Logic 48 (1983), 714–723. Zbl0536.03033MR0716633DOI10.2307/2273464
  2. Jech T., Set Theory, Academic Press, San Diego, 1978. Zbl1007.03002MR0506523
  3. Jech T., Shelah S., 10.2307/2275822, J. Symbolic Logic 61 (1996), 1380–1386, math.LO/9502203. Zbl0871.06008MR1456113DOI10.2307/2275822
  4. Shelah S., Proper and Improper Forcing, second edition, Springer, New York, 1998. Zbl0889.03041MR1623206
  5. Vojtáš P., Game properties of Boolean algebras, Comment. Math. Univ. Carolin. 24 (1983), 349–369. MR0711272

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