
arXiv: 1801.07149
AbstractThe aim of this work is an analysis of distal and non‐distal behavior in dense pairs of o‐minimal structures. A characterization of distal types is given through orthogonality to a generic type in , non‐distality is geometrically analyzed through Keisler measures, and a distal expansion for the case of pairs of ordered vector spaces is computed.
FOS: Mathematics, Mathematics - Logic, Classification theory, stability, and related concepts in model theory, Logic (math.LO), Primary 03C64, Secondary 03C45, Model theory of ordered structures; o-minimality
FOS: Mathematics, Mathematics - Logic, Classification theory, stability, and related concepts in model theory, Logic (math.LO), Primary 03C64, Secondary 03C45, Model theory of ordered structures; o-minimality
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