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Indestructibility under adding Cohen subsets and level by level equivalence
Mathematical Logic Quarterly 55 (3):271-279 (2009)
Abstract
We construct a model for the level by level equivalence between strong compactness and supercompactness in which the least supercompact cardinal κ has its strong compactness indestructible under adding arbitrarily many Cohen subsets. There are no restrictions on the large cardinal structure of our modelOther Versions
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Citations of this work
A universal indestructibility theorem compatible with level by level equivalence.Arthur W. Apter - 2015 - Archive for Mathematical Logic 54 (3-4):463-470.
References found in this work
Strong axioms of infinity and elementary embeddings.Robert M. Solovay - 1978 - Annals of Mathematical Logic 13 (1):73.
On strong compactness and supercompactness.Telis K. Menas - 1975 - Annals of Mathematical Logic 7 (4):327-359.
The lottery preparation.Joel David Hamkins - 2000 - Annals of Pure and Applied Logic 101 (2-3):103-146.
On certain indestructibility of strong cardinals and a question of Hajnal.Moti Gitik & Saharon Shelah - 1989 - Archive for Mathematical Logic 28 (1):35-42.
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