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On closed unbounded sets consisting of former regulars
Journal of Symbolic Logic 64 (1):1-12 (1999)
Abstract
A method of iteration of Prikry type forcing notions as well as a forcing for adding clubs is presented. It is applied to construct a model with a measurable cardinal containing a club of former regulars, starting with o(κ) = κ + 1. On the other hand, it is shown that the strength of above is at least o(κ) = κOther Versions
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Citations of this work
Homogeneous changes in cofinalities with applications to HOD.Omer Ben-Neria & Spencer Unger - 2017 - Journal of Mathematical Logic 17 (2):1750007.
A Gitik iteration with nearly Easton factoring.William Mitchell - 2003 - Journal of Symbolic Logic 68 (2):481-502.
Universal partial indestructibility and strong compactness.Arthur W. Apter - 2005 - Mathematical Logic Quarterly 51 (5):524-531.
A cardinal preserving extension making the set of points of countable V cofinality nonstationary.Moti Gitik, Itay Neeman & Dima Sinapova - 2007 - Archive for Mathematical Logic 46 (5-6):451-456.
References found in this work
On certain indestructibility of strong cardinals and a question of Hajnal.Moti Gitik & Saharon Shelah - 1989 - Archive for Mathematical Logic 28 (1):35-42.
On measurable cardinals violating the continuum hypothesis.Moti Gitik - 1993 - Annals of Pure and Applied Logic 63 (3):227-240.
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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