Nonsplitting subset of κ

Journal of Symbolic Logic 50 (4):881-894 (1985)
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Abstract

Assuming the existence of a supercompact cardinal, we construct a model of ZFC + ). Answering a question of Uri Abraham [A], [A-S], we prove that adding a real to the world always makes P ℵ 1 - V stationary

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10.2307/2273978

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Citations of this work

Characterizations of the weakly compact ideal on Pλ.Brent Cody - 2020 - Annals of Pure and Applied Logic 171 (6):102791.
Combinatorial dichotomies in set theory.Stevo Todorcevic - 2011 - Bulletin of Symbolic Logic 17 (1):1-72.
Menas' conjecture and generic ultrapowers.Yo Matsubara - 1987 - Annals of Pure and Applied Logic 36:225-234.
Nowhere precipitousness of the non-stationary ideal over.Yo Matsubara & Saharon Shelah - 2002 - Journal of Mathematical Logic 2 (01):81-89.
Some applications of mixed support iterations.John Krueger - 2009 - Annals of Pure and Applied Logic 158 (1-2):40-57.

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References found in this work

Set Theory.Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (4):876-877.
On strong compactness and supercompactness.Telis K. Menas - 1975 - Annals of Mathematical Logic 7 (4):327-359.

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