GENERIC STABILITY AND STABILITY
Copyright policy )GENERIC STABILITY AND STABILITY
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.)
- University of Notre Dame United States
- University of Barcelona Spain
- Logica United Kingdom
strong germs, generically stable types, FOS: Mathematics, Mathematics - Logic, Classification theory, stability, and related concepts in model theory, stable types, Logic (math.LO)
strong germs, generically stable types, FOS: Mathematics, Mathematics - Logic, Classification theory, stability, and related concepts in model theory, stable types, Logic (math.LO)
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