Locally o-minimal structures and structures with locally o-minimal open core

DOI10.1016/j.apal.2012.10.002zbMath1264.03090arXivmath/0612366OpenAlexW2067657455MaRDI QIDQ1935863

Antongiulio Fornasiero

Publication date: 19 February 2013

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612366

zbMATH Keywords

o-minimal structureopen coredefinably Baire structuredefinably complete first-order expansions of ordered fieldslocally o-minimal structure

Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64) Ordered fields (12J15)

Related Items (16)

One Lie group to define them all ⋮ O-MINIMALISM ⋮ Almost o-minimal structures and \(\mathfrak{X}\)-structures ⋮ Toward a model theory for transseries ⋮ Uniformly locally o‐minimal open core ⋮ Tameness of definably complete locally o‐minimal structures and definable bounded multiplication ⋮ Decomposition into special submanifolds ⋮ Pregeometry over locally o‐minimal structures and dimension ⋮ Definably complete structures are not pseudo-enumerable ⋮ A Note on Hieronymi’s Theorem: Every Definably Complete Structure Is Definably Baire ⋮ PSEUDO-FINITE SETS, PSEUDO-O-MINIMALITY ⋮ Uniformly locally o-minimal structures and locally o-minimal structures admitting local definable cell decomposition ⋮ Computable axiomatizability of elementary classes ⋮ A FUNDAMENTAL DICHOTOMY FOR DEFINABLY COMPLETE EXPANSIONS OF ORDERED FIELDS ⋮ D-minimal expansions of the real field have the zero set property ⋮ LOCALLY O-MINIMAL STRUCTURES WITH TAME TOPOLOGICAL PROPERTIES

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