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Preprint . 1996
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Journal of Symbolic Logic
Article . 1998 . Peer-reviewed
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Article . 1996
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Article . 1998
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https://dx.doi.org/10.2307/258...
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Superdestructibility: A dual to Laver's indestructibility

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 1998Embargo end date: 01 Jan 1996 English Publisher:Cambridge University Press (CUP)Journal:The Journal of Symbolic Logic, volume 63, pages 549-554 (issn: 0022-4812, eissn: 1943-5886, Copyright policy )
Authors: Joel David Hamkins; Saharon Shelah;

doi: 10.2307/2586848 , 10.48550/arxiv.math/9612227

arXiv: math/9612227

Superdestructibility: A dual to Laver's indestructibility

Abstract

AbstractAfter small forcing, any <κ-closed forcing will destroy the supercompactness and even the strong compactness of κ.

Related Organizations
Keywords

Other aspects of forcing and Boolean-valued models, Large cardinals, forcing, supercompactness, strong compactness, small forcing, FOS: Mathematics, Mathematics - Logic, superdestructibility, Logic (math.LO)

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    popularity
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    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Average
Green