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Distal and non‐distal behavior in pairs
Author(s) -
Nell Travis
Publication year - 2019
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201800005
Subject(s) - mathematics , orthogonality , characterization (materials science) , type (biology) , combinatorics , pure mathematics , geometry , physics , geology , paleontology , optics
The 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 M eq , non‐distality is geometrically analyzed through Keisler measures, and a distal expansion for the case of pairs of ordered vector spaces is computed.