Uniformly locally o-minimal structures and locally o-minimal structures admitting local definable cell decomposition

DOI10.1016/j.apal.2019.102756zbMath1435.03062OpenAlexW2991474283WikidataQ126808521 ScholiaQ126808521MaRDI QIDQ2007877

Fujita Masato

Publication date: 22 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.apal.2019.102756

zbMATH Keywords

o-minimalitydefinably complete structurelocal definable cell decompositionlocal monotonicity theoremuniformly locally o-minimal structure

Mathematics Subject Classification ID

Interpolation, preservation, definability (03C40) Model theory of ordered structures; o-minimality (03C64) Basic properties of first-order languages and structures (03C07) Quantifier elimination, model completeness, and related topics (03C10)

Related Items (7)

Almost o-minimal structures and \(\mathfrak{X}\)-structures ⋮ 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 ⋮ DIMENSION INEQUALITY FOR A DEFINABLY COMPLETE UNIFORMLY LOCALLY O-MINIMAL STRUCTURE OF THE SECOND KIND ⋮ LOCALLY O-MINIMAL STRUCTURES WITH TAME TOPOLOGICAL PROPERTIES

Cites Work

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• Locally o-minimal structures
• Geometry of subanalytic and semialgebraic sets
• Locally o-minimal structures and structures with locally o-minimal open core
• Structures having o-minimal open core
• Notes on local o-minimality
• Definable Sets in Ordered Structures. I
• Definable Sets in Ordered Structures. II
• Expansions of dense linear orders with the intermediate value property
• Weakly o-minimal structures and real closed fields
• Model Theory
• Topological properties of sets definable in weakly o-minimal structures

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