The first measurable cardinal can be the first uncountable regular cardinal at any successor height

Arthur W. Apter, Ioanna M. Dimitriou, Peter Koepke

Type: Article

Publication Date: 2014-10-28

Citations: 5

DOI: https://doi.org/10.1002/malq.201110007

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Mathematical logic quarterly - View

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Works That Cite This (5)

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+ PDF Chat	Spectra of uniformity	2019	Yair Hayut Asaf Karagila
+	All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters	2016	Arthur W. Apter Ioanna M. Dimitriou Peter Koepke
+	Remarks on Gitik's model and symmetric extensions on products of the Lévy collapse	2020	Amitayu Banerjee
+	Consecutive Singular Cardinals and the Continuum Function	2013	Arthur W. Apter Brent Cody
+ PDF Chat	Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse	2022	Amitayu Banerjee

Works Cited by This (8)

Action	Title	Year	Authors
+	AD and patterns of singular cardinals below Θ	1996	Arthur W. Apter
+	ω 1 can be measurable	1968	Thomas Jech
+	Instances of dependent choice and the measurability of ℵω + 1	1995	Arthur W. Apter Menachem Magidor
+	Set Theory An Introduction to Independence Proofs	1980	Kenneth Kunen
+	All uncountable cardinals can be singular	1980	Moti Gitik
+	Successors of singular cardinals and measurability	1985	Arthur W. Apter
+	An AD-like model	1985	Arthur W. Apter
+	Measurable cardinals and the continuum hypothesis	1967	Amit Levy R. M. Solovay