Properties of forcing preserved by finite support iterations
Repický, Miroslav
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 95-103 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 1991-01-01
Classification:  03E40 
@article{116945,
     author = {Miroslav Repick\'y},
     title = {Properties of forcing preserved by finite support iterations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {95-103},
     zbl = {0736.03017},
     mrnumber = {1118292},
     language = {en},
     url = {http://dml.mathdoc.fr/item/116945}
}

Repický, Miroslav. Properties of forcing preserved by finite support iterations. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 95-103. http://gdmltest.u-ga.fr/item/116945/

Bartoszyński T. Additivity of measure implies additivity of category, Trans. Amer. Math. Soc.209-213 (1984),281, 1. (1984) | MR 0719666

Bukovský L. $\nabla$-models and distributivity in Boolean algebras, Comment. Math. Univ. Carol.595-612 (1968),9, 4. (1968) | MR 0262129

Bukovský L.; Recław I.; Repický M. Spaces not distinguishing pointwise and quasinormal convergence of real functions, Topology Appl.\toappear.

Cichoń J.; Pawlikowski J. On ideals of subsets of the plane and on Cohen real, J. Symb. Logic 560-569 (1986),51, 3. (1986) | MR 0853839

Fremlin D. H. Cichoń's diagram, Publ. Math. Univ. Pierre Marie Curie 66 Semin. Initiation Anal. 23eme Anee-1983/84 Exp. No. 5, 13p.(1984). | Zbl 0559.03029

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.

Jech T. Set Theory, Academic Press, 1978. | MR 0506523 | Zbl 1007.03002

Kamburelis A. Iterations of Boolean algebras with measure, Arch. Math. Logic21-28 (1989),29. (1989) | MR 1022984 | Zbl 0687.03032

Krawczyk A. $B(m)+A(c)\nrightarrow A(m)$, preprint.

Miller A. W. Some properties of measure and category, Trans. Amer. Math. Soc.93-114 (1981), 266. (1981) | MR 0613787 | Zbl 0472.03040

Raisonier J.; Stern J. The strength of measurability hypothesis, Israel J. Math.337-349 (1985),50, 4. (1985) | MR 0800191

Repický M. Porous sets and additivity of Lebesgue measure, Real Analysis Exchange, 1989-1990. | MR 1042544

Truss J.K. Sets having caliber $\aleph_1$, Proc. Logic Colloquium `76, Studies in Logic 595-612 (1977),87. (1977) | MR 0476513