Chasing Silver
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 593-603

Voir la notice de l'article provenant de la source Cambridge University Press

We show that limits of CS iterations of the $n$ -Silver forcing notion have the $n$ -localization property.
DOI : 10.4153/CMB-2008-059-2
Mots-clés : 03E40, 03E35, n-localization property, the Silver forcing, CS iterations
Rosłanowski, Andrzej; Steprāns, Juris. Chasing Silver. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 593-603. doi: 10.4153/CMB-2008-059-2
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[1] [1] Cichoń, J., Rosłanowski, A., Steprāns, J., and Węglorz, B., Combinatorial properties of the ideal . J. Symbolic Logic 58(1993), no. 1, 42–54. Google Scholar

[2] [2] Dębski, W., Kleszcz, J., and Plewik, S., Perfect sets of independent functions. Acta Univ. Carolin. Math. Phys. 33(1992), no. 2, 31–33. Google Scholar

[3] [3] Geschke, S., More on convexity numbers of closed sets in n . Proc. Amer. Math. Soc. 133(2005), no. 5, 1307–1315 (electronic). Google Scholar

[4] [4] Geschke, S. and Kojman, M., Convexity numbers of closed sets in n . Proc. Amer. Math. Soc. 130(2002), no. 10, 2871–2881 (electronic). Google Scholar

[5] [5] Geschke, S., Kojman, M., Kubiś, W., and Schipperus, R., Convex decompositions in the plane and continuous pair colorings of the irrationals. Israel J. Math. 131(2002), 285–317. Google Scholar

[6] [6] Goldstern, M., Tools for your forcing construction. In: Set Theory of the Reals. Israel Math. Conf. Proc. 6, Bar-Ilan Univ., Ramat Gan, 1993, pp. 305–360. Google Scholar

[7] [7] Jech, T., Set theory. The third millennium edition, revised and expanded. Springer-Verlag, Berlin, 2003. Google Scholar

[8] [8] Kamo, S., Some remarks about Mycielski ideals. Colloq. Math. 65(1993), no. 2, 291–299. Google Scholar

[9] [9] Kellner, J., Preserving non-null with Suslin+ forcing. Arch. Math. Logic 45(2006), no. 6, 649–664. Google Scholar

[10] [10] Mycielski, J., On the axiom of determinateness. I. Fund. Math. 59(1966), 203–212. Google Scholar

[11] [11] Mycielski, J., Some new ideals of sets on the real line. Coll. Math. 20(1969), 71–76. Google Scholar

[12] [12] Newelski, L. and Rosłanowski, A., The ideal determined by the unsymmetric game. Proc. Amer. Math. Soc. 117(1993), no. 3, 823–831. Google Scholar

[13] [13] Rosłanowski, A., On game ideals. Colloq. Math. 59(1990), no. 2, 159–168. Google Scholar

[14] [14] Rosłanowski, A., Mycielski ideals generated by uncountable systems. Colloq. Math. 66(1994), no. 2, 187–200. Google Scholar

[15] [15] Rosłanowski, A., n-localization property. J. Symbolic Logic 71(2006), no. 3, 881–902 Google Scholar

[16] [16] Sharp, J. D. and Thomas, S., Uniformization problems and the cofinality of the infinite symmetric group. Notre Dame J. Formal Logic 35(1994), no. 3, 328–345. Google Scholar

[17] [17] Shelah, S., Properness without elementaricity. J. Appl. Anal. 10(2004), no. 2, 169–289. Google Scholar

[18] [18] Shelah, S. and Steprāns, J., The covering numbers of Mycielski ideals are all equal. J. Symbolic Logic 66(2001), no. 2, 707–718. Google Scholar

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