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  1. Some constructions of ultrafilters over a measurable cardinal.Moti Gitik - 2020 - Annals of Pure and Applied Logic 171 (8):102821.
    Some non-normal κ-complete ultrafilters over a measurable κ with special properties are constructed. Questions by A. Kanamori [4] about infinite Rudin-Frolik sequences, discreteness and products are answered.
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  • Prikry forcing and tree Prikry forcing of various filters.Tom Benhamou - 2019 - Archive for Mathematical Logic 58 (7-8):787-817.
    In this paper, we answer a question asked in Koepke et al. regarding a Mathias criteria for Tree-Prikry forcing. Also we will investigate Prikry forcing using various filters. For completeness and self inclusion reasons, we will give proofs of many known theorems.
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  • Strange ultrafilters.Moti Gitik - 2019 - Archive for Mathematical Logic 58 (1-2):35-52.
    We deal with some natural properties of ultrafilters which trivially fail for normal ultrafilters.
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  • (1 other version)The negation of the singular cardinal hypothesis from< i> o(< i> K)=< i> K_< sup>++.Moti Gitik - 1989 - Annals of Pure and Applied Logic 43 (3):209-234.
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  • On the Mitchell and Rudin-Kiesler orderings of ultrafilters.Moti Gitik - 1988 - Annals of Pure and Applied Logic 39 (2):175-197.
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  • (1 other version)The negation of the singular cardinal hypothesis from o(K)=K++.Moti Gitik - 1989 - Annals of Pure and Applied Logic 43 (3):209-234.
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  • No jónsson filters over ℵω.Jan Tryba - 1987 - Journal of Symbolic Logic 52 (1):51 - 53.
    Answering a question of A. Kanamori, we prove that there is no Jónsson filter over the least Jonsson cardinal. We also notice that, assuming □ κ , the successor κ + cannot be Jonsson.
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  • (1 other version)The model< i> N=∪{< i> L[A]:< i> A_ countable set of ordinals}.Claude Sureson - 1987 - Annals of Pure and Applied Logic 36 (C):289-313.
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  • The model "N" = [union].Claude Sureson - 1987 - Annals of Pure and Applied Logic 36:289.
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  • (1 other version)The model N = ∪ {L[A]: A countable set of ordinals}.Claude Sureson - 1987 - Annals of Pure and Applied Logic 36:289-313.
    This paper continues the study of covering properties of models closed under countable sequences. In a previous article we focused on C. Chang's Model . Our purpose is now to deal with the model N = ∪ { L [A]: A countable ⊂ Ord}. We study here relations between covering properties, satisfaction of ZF by N , and cardinality of power sets. Under large cardinal assumptions N is strictly included in Chang's Model C , it may thus be interesting to (...)
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  • P-points and Q-points over a measurable cardinal.C. Sureson - 1985 - Annals of Pure and Applied Logic 29 (1):107-122.
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  • Non-closure of the image model and absence of fixed points.Claude Sureson - 1985 - Annals of Pure and Applied Logic 28 (3):287-314.
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  • A characterization of 2-square ultrafilters.Ned I. Rosen - 1983 - Journal of Symbolic Logic 48 (2):409-414.
    The class of 2-square ultrafilters on ω equals the union, for n ≥ 1, of the classes of strictly n Ramsey ultrafilters on ω.
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  • On non-minimal p-points over a measurable cardinal.Moti Gitik - 1981 - Annals of Mathematical Logic 20 (3):269-288.
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