DISTAL AND NON-DISTAL PAIRS
Copyright policy )DISTAL AND NON-DISTAL PAIRS
AbstractThe aim of this note is to determine whether certain non-o-minimal expansions of o-minimal theories which are known to be NIP, are also distal. We observe that while tame pairs of o-minimal structures and the real field with a discrete multiplicative subgroup have distal theories, dense pairs of o-minimal structures and related examples do not.
- University of Illinois at Urbana Champaign United States
- University of Illinois at Urbana–Champaign United States
distal, FOS: Mathematics, NIP, Mathematics - Logic, Classification theory, stability, and related concepts in model theory, Logic (math.LO), Ordered abelian groups, Riesz groups, ordered linear spaces, Primary 03C64, Secondary 03C45, Model theory of ordered structures; o-minimality, expansions of o-minimal structures
distal, FOS: Mathematics, NIP, Mathematics - Logic, Classification theory, stability, and related concepts in model theory, Logic (math.LO), Ordered abelian groups, Riesz groups, ordered linear spaces, Primary 03C64, Secondary 03C45, Model theory of ordered structures; o-minimality, expansions of o-minimal structures
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).9 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).Average 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!