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Journal of Symbolic Logic
Article . 2014 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2012
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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GENERIC STABILITY AND STABILITY

Authors: Hans Adler; Enrique Casanovas; Anand Pillay;

GENERIC STABILITY AND STABILITY

Abstract

AbstractWe prove two results about generically stable typespin arbitrary theories. The first, on existence of strong germs, generalizes results from [2] on stably dominated types. The second is an equivalence of forking and dividing, assuming generic stability ofp(m)for allm. We use the latter result to answer in full generality a question posed by Hasson and Onshuus: IfP(x) εS(B) is stable and does not fork overAthenprestrictionAis stable. (They had solved some special cases.)

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Keywords

FOS: Mathematics, Mathematics - Logic, Logic (math.LO)

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citations
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!
7
Average
Average
Average
Green
bronze