Distal and non‐distal behavior in pairs

Mathematical Logic Quarterly 65 (1):23-36 (2019)
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Abstract

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, non‐distality is geometrically analyzed through Keisler measures, and a distal expansion for the case of pairs of ordered vector spaces is computed.

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10.1002/malq.201800005

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Citations of this work

Topological fields with a generic derivation.Pablo Cubides Kovacsics & Françoise Point - 2023 - Annals of Pure and Applied Logic 174 (3):103211.
Non-forking and preservation of NIP and dp-rank.Pedro Andrés Estevan & Itay Kaplan - 2021 - Annals of Pure and Applied Logic 172 (6):102946.
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References found in this work

Distal and non-distal NIP theories.Pierre Simon - 2013 - Annals of Pure and Applied Logic 164 (3):294-318.
Distal and non-distal pairs.Philipp Hieronymi & Travis Nell - 2017 - Journal of Symbolic Logic 82 (1):375-383.
Wild theories with o-minimal open core.Philipp Hieronymi, Travis Nell & Erik Walsberg - 2018 - Annals of Pure and Applied Logic 169 (2):146-163.

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