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n–localization property

  • Andrzej Rosłanowski (a1)

Abstract

This paper is concerned with n–localization property introduced by Newelski and Roslanowski in [10] and getting it for CS iterations of forcing notions.

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[2]Geschke, Stefan, More on convexity numbers of closed sets in ℝn, Proceedings of the American Mathematical Society, vol. 133 (2005), pp. 13071315.
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[4]Geschke, Stefan, Kojman, Menachem, Kubiś, WiesŁaw, and Schipperus, Rene, Convex decompositions in the plane and continuous pair colorings of the irrationals, Israel Journal of Mathematics, vol. 131 (2002), pp. 285317.
[5]Geschke, Stefan and Quickert, Sandra, On Sacks forcing and the Sacks property, Classical and new paradigms of computation and their complexity hierarchies (Löwe, B., Piwinger, B., and Räsch, T., editors), Trends in Logic, vol. 23, Kluwer Academic Publishers, 2004, pp. 95139.
[6]Goldstern, Martin, Tools for your forcing construction, Set Theory of the Reals, vol. 6 of the Proceedings of the Israel Mathematical Conference, pp. 305360, Ramat Gan, 1993.
[7]Jech, Thomas, Set Theory, Academic Press, New York, 1978.
[8]Kellner, Jakob, Preserving non-null with Suslin+ forcing, Archive for Mathematical Logic, accepted.
[9]Kellner, Jakob, Definable forcings, Ph.D. thesis, Universität Wien, Austria, 2004.
[10]Newelski, Ludomir and Rosłanowski, Andrzej, The ideal determined by the unsymmetric game, Proceedings of the American Mathematical Society, vol. 117 (1993), pp. 823831.
[11]Rosłanowski, Andrzej, Mycielski ideals generated by uncountable systems, Colloquium Mathematicum, vol. LXVI (1994), pp. 187200.
[12]Rosłanowski, Andrzej and Shelah, Saharon, Reasonably complete forcing notions, Quaderni di Matematica, accepted.
[13]Rosłanowski, Andrzej and Shelah, Saharon, Sheva-Sheva-Sheva: Large creatures, Israel Journal of Mathematics, accepted.
[14]Rosłanowski, Andrzej and SteprᾹns, Juris, Chasing silver, Canadian Mathematical Bulletin, submitted.
[15]Shelah, Saharon, Not collapsing cardinals ≤ κ in (< κ)-support iterations, Israel Journal of Mathematics, vol. 136 (2003), pp. 29115.
[16]Shelah, Saharon, Properness without elementaricity, Journal of Applied Analysis, vol. 10 (2004), pp. 168289.

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n–localization property

  • Andrzej Rosłanowski (a1)

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