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JSYML
2010
68views more  JSYML 2010»
13 years 2 months ago
An equiconsistency for universal indestructibility
We obtain an equiconsistency for a weak form of universal indestructibility for strongness. The equiconsistency is relative to a cardinal weaker in consistency strength than a Woo...
Arthur W. Apter, Grigor Sargsyan
JSYML
1998
61views more  JSYML 1998»
13 years 4 months ago
Superdestructibility: A Dual to Laver's Indestructibility
Abstract. After small forcing, any <κ-closed forcing will destroy the supercompactness and even the strong compactness of κ. In a delightful argument, Laver [L78] proved that ...
Joel David Hamkins, Saharon Shelah