Superdestructibility: A dual to Laver's indestructibility

Journal of Symbolic Logic 63 (2):549-554 (1998)

Authors
Joel David Hamkins
Oxford University
Abstract
After small forcing, any $ -closed forcing will destroy the supercompactness and even the strong compactness of κ
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DOI 10.2307/2586848
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References found in this work BETA

Strong Compactness and Other Cardinal Sins.Jussi Ketonen - 1972 - Annals of Mathematical Logic 5 (1):47-76.

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Citations of this work BETA

Tall Cardinals.Joel D. Hamkins - 2009 - Mathematical Logic Quarterly 55 (1):68-86.
Fragility and Indestructibility II.Spencer Unger - 2015 - Annals of Pure and Applied Logic 166 (11):1110-1122.
Destruction or Preservation as You Like It.Joel David Hamkins - 1998 - Annals of Pure and Applied Logic 91 (2-3):191-229.
The Large Cardinals Between Supercompact and Almost-Huge.Norman Lewis Perlmutter - 2015 - Archive for Mathematical Logic 54 (3-4):257-289.
On the Indestructibility Aspects of Identity Crisis.Grigor Sargsyan - 2009 - Archive for Mathematical Logic 48 (6):493-513.

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