DIMENSION INEQUALITY FOR A DEFINABLY COMPLETE UNIFORMLY LOCALLY O-MINIMAL STRUCTURE OF THE SECOND KIND

DOI10.1017/jsl.2020.31zbMath1485.03134arXiv2002.03078OpenAlexW3004753147MaRDI QIDQ5858926

Fujita Masato

Publication date: 15 April 2021

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03078

zbMATH Keywords

definably Baire structuredefinably completeuniformly locally o-minimal structure of the second kind

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Dimension theory in general topology (54F45) Model theory of ordered structures; o-minimality (03C64)

Related Items (7)

Almost o-minimal structures and \(\mathfrak{X}\)-structures ⋮ The surjectivity and the continuity of definable functions in some definably complete locally o-minimal expansions and the Grothendieck ring of almost o-minimal 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 ⋮ LOCALLY O-MINIMAL STRUCTURES WITH TAME TOPOLOGICAL PROPERTIES

Cites Work

• Unnamed Item
• Uniformly locally o-minimal structures and locally o-minimal structures admitting local definable cell decomposition
• Definably complete Baire structures
• Structures having o-minimal open core
• Notes on local o-minimality
• Expansions of dense linear orders with the intermediate value property
• An analogue of the Baire category theorem

This page was built for publication: DIMENSION INEQUALITY FOR A DEFINABLY COMPLETE UNIFORMLY LOCALLY O-MINIMAL STRUCTURE OF THE SECOND KIND