Simplicity, and stability in there
Copyright policy )Simplicity, and stability in there
AbstractFirstly, in this paper, we prove that the equivalence of simplicity and the symmetry of forking. Secondly, we attempt to recover definability part of stability theory to simplicity theory. In particular, using elimination of hyperimaginaries we prove that for any supersimpleT. canonical base of an amalgamation classis the union of names ofψ-definitions of,ψranging over stationaryL-formulas in. Also, we prove that the same is true with stable formulas for an 1-based theory having elimination of hyperimaginaries. For such a theory, the stable forking property holds, too.
- Massachusetts Institute of Technology United States
definability, symmetry of forking, elimination of hyperimaginaries, Classification theory, stability, and related concepts in model theory, amalgamation class, 1-based theory, simplicity, stable forking property, canonical base
definability, symmetry of forking, elimination of hyperimaginaries, Classification theory, stability, and related concepts in model theory, amalgamation class, 1-based theory, simplicity, stable forking property, canonical base
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).15 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.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!