Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.
We show that limits of CS iterations of the $n$-Silver forcing notion have the $n$-localization property.
[1] Cichoń, J., Rosłanowski, A., Steprāns, J., and Węglorz, B., Combinatorial properties of the ideal . J. Symbolic Logic58(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 ℝn. 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 ℝn. 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
[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 Logic71(2006), no. 3, 881–902Google Scholar
16
[16] Sharp, J. D. and Thomas, S., Uniformization problems and the cofinality of the infinite symmetric group. Notre Dame J. Formal Logic35(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 Logic66(2001), no. 2, 707–718.Google Scholar