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There May be Infinitely Many Near-Coherence Classes under u < ∂
Journal of Symbolic Logic 72 (4):1228 - 1238 (2007)
Abstract
We show that in the models of u < ∂ from [14] there are infinitely many near-coherence classes of ultrafilters, thus answering Banakh's and Blass' Question 30 of [3] negatively. By an unpublished result of Canjar, there are at least two classes in these modelsLinks
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Citations of this work
2009 North American Annual Meeting of the Association for Symbolic Logic.Alasdair Urquhart - 2009 - Bulletin of Symbolic Logic 15 (4):441-464.
References found in this work
There may be simple Pℵ1 and Pℵ2-points and the Rudin-Keisler ordering may be downward directed.Andreas Blass & Saharon Shelah - 1987 - Annals of Pure and Applied Logic 33 (C):213-243.
Near coherence of filters. I. Cofinal equivalence of models of arithmetic.Andreas Blass - 1986 - Notre Dame Journal of Formal Logic 27 (4):579-591.
Near coherence of filters. III. A simplified consistency proof.Andreas Blass & Saharon Shelah - 1989 - Notre Dame Journal of Formal Logic 30 (4):530-538.
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