On closed unbounded sets consisting of former regulars

Moti Gitik

Type: Article

Publication Date: 1999-03-01

Citations: 13

DOI: https://doi.org/10.2307/2586746

Abstract

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 ο ( κ ) = κ + 1. On the other hand, it is shown that the strength of above is at least ο ( κ ) = κ .

Locations

Journal of Symbolic Logic - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (13)

Action	Title	Year	Authors
+	On κ-compact cardinals	2020	Moti Gitik
+	A cardinal preserving extension making the set of points of countable V cofinality nonstationary	2007	Moti Gitik Itay Neeman Dima Sinapova
+	Beginning Inner Model Theory	2009	William J. Mitchell
+ PDF Chat	On -Strongly Measurable Cardinals	2023	Omer Ben-Neria Yair Hayut
+	Homogeneous changes in cofinalities with applications to HOD	2017	Omer Ben-Neria Spencer Unger
+	A Gitik iteration with nearly Easton factoring	2003	William J. Mitchell
+	Prikry-Type Forcings	2009	Moti Gitik
+ PDF Chat	A measurable cardinal with a closed unbounded set of inaccessibles from $o(\kappa )=\kappa $	2001	William Mitchell
+	One Repeat Point Gives a Closed, Unbounded Ultrafilter on {ω_1}	2014	William J. Mitchell
+	Non-Galvin Filters	2022	Tom Benhamou Shimon Garti Moti Gitik Alejandro Poveda

Works Cited by This (7)

Action	Title	Year	Authors
+	On certain indestructibility of strong cardinals and a question of Hajnal	1989	Moti Gitik Saharon Shelah
+ PDF Chat	Applications of the covering lemma for sequences of measures	1987	William Mitchell
+	On measurable cardinals violating the continuum hypothesis	1993	Moti Gitik
+	The core model for sequences of measures. I	1984	William J. Mitchell
+	On the Mitchell and Rudin-Kiesler orderings of ultrafilters	1988	Moti Gitik
+	Changing cofinalities and the nonstationary ideal	1986	Moti Gitik
+	Forcing closed unbounded sets	1983	Uri Abraham Saharon Shelah