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1994 | 144 | 1 | 23-42
Tytuł artykułu

Examples for Souslin forcing

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We give several examples of Souslin forcing notions. For instance, we show that there exists a proper analytical forcing notion without ccc and with no perfect set of incompatible elements, we give an example of a Souslin ccc partial order without the Knaster property, and an example of a totally nonhomogeneous Souslin forcing notion.
Słowa kluczowe
Rocznik
Tom
144
Numer
1
Strony
23-42
Opis fizyczny
Daty
wydano
1994
otrzymano
1992-05-27
poprawiono
1993-05-14
Twórcy
autor
  • Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel
  • Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel
  • Mathematical Institute, Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
  • Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel
  • Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903, U.S.A.
Bibliografia
  • [Ba] J. Baumgartner, Iterated forcing, in: Surveys in Set Theory, A. R. D. Mathias (ed.), London Math. Soc. Lecture Note Ser. 87, Cambridge Univ. Press, 1983, 1-59.
  • [BJ] J. Bagaria and H. Judah, Amoeba forcing, Suslin absoluteness and additivity of measure, in: Set Theory of the Continuum, H. Judah, W. Just and H. Woodin (eds.), Math. Sci. Res. Inst. Publ. 26, Springer, 1992, 155-173.
  • [BaJ] T. Bartoszyński and H. Judah, Jumping with random reals, to appear.
  • [Je] T. Jech, Set Theory, Academic Press, New York, 1978.
  • [Je1] T. Jech, Multiple Forcing, Cambridge Tracts in Math. 88, Cambridge Univ. Press, 1986.
  • [JR] H. Judah and A. Rosłanowski, On Shelah's amalgamation, in: Set Theory of the Reals, Proc. Bar-Ilan Univ., 1991, Israel Math. Conf. Proc. 6, Bar-Ilan Univ., 1993, 385-414.
  • [JS1] H. Judah and S. Shelah, Souslin forcing, J. Symbolic Logic 53 (1988), 1188-1207.
  • [JS2] H. Judah and S. Shelah, Martin's axioms, measurability and equiconsistency results, ibid. 54 (1989), 78-94.
  • [Ra] J. Raisonnier, A mathematical proof of S. Shelah's theorem on the measure problem and related results, Israel J. Math. 48 (1984), 48-56.
  • [Ro] J. Roitman, Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom, Fund. Math. 103 (1979), 47-60.
  • [Sh] S. Shelah, Can you take Solovay's inaccessible away?, Israel J. Math. 48 (1984), 1-47.
  • [Sh1] S. Shelah, Vive la Différence I: nonisomorphism of ultrapowers of countable models, in: Set Theory of the Continuum, H. Judah, W. Just and H. Woodin (eds.), Math. Sci. Res. Inst. Publ. 26, Springer, 1992, 357-405.
  • [Sh2] S. Shelah, Proper and Improper Forcing, in preparation.
  • [Ta] M. Talagrand, Compacts de fonctions mesurables et filtres non mesurables, Studia Math. 67 (1980), 13-43.
  • [To] S. Todorčević, Two examples of Borel partially ordered sets with the countable chain condition, Proc. Amer. Math. Soc. 112 (1991), 1125-1128.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-fmv144i1p23bwm
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