Superdestructibility: A dual to Laver's indestructibility

Joel David Hamkins, Saharon Shelah

Type: Article

Publication Date: 1998-06-01

Citations: 18

DOI: https://doi.org/10.2307/2586848

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Locations

Journal of Symbolic Logic - View

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Works That Cite This (16)

Action	Title	Year	Authors
+	Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata	2001	Arthur W. Apter Joel David Hamkins
+ PDF Chat	Strongly compact cardinals and the continuum function	2021	Arthur W. Apter Stamatis Dimopoulos Toshimichi Usuba
+	Fragility and indestructibility II	2015	Spencer Unger
+	Destruction or preservation as you like it	1998	Joel David Hamkins
+	Force to change large cardinal strength	2015	Erin Kathryn Carmody
+ PDF Chat	Extensions with the approximation and cover properties have no new large cardinals	2003	Joel David Hamkins
+ PDF Chat	The large cardinals between supercompact and almost-huge	2015	Norman Lewis Perlmutter
+	Gap forcing	2001	Joel David Hamkins
+ PDF Chat	Superstrong and other large cardinals are never Laver indestructible	2015	Joan Bagaria Joel David Hamkins Konstantinos Tsaprounis Toshimichi Usuba
+	Large cardinals with few measures	2006	Arthur W. Apter James Cummings Joel David Hamkins

Works Cited by This (3)

Action	Title	Year	Authors
+	Strong compactness and other cardinal sins	1972	Jussi Ketonen
+	Making the supercompactness of κ indestructible under κ-directed closed forcing	1978	Richard Laver
+ PDF Chat	Small forcing makes any cardinal superdestructible	1998	Joel David Hamkins