Definable compactness in definably complete locally o-minimal structures

DOI10.4064/FM230612-19-3MaRDI QIDQ6654949

Masato Fujita

Publication date: 20 December 2024

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

zbMATH Keywords

local o-minimalitydefinable compactnessdefinable topological group

Mathematics Subject Classification ID

Compactness (54D30) Topological groups (topological aspects) (54H11) Compact groups (22C05) Model theory of ordered structures; o-minimality (03C64)

Cites Work

• Title not available (Why is that?)
• Locally o-minimal structures
• Locally o-minimal structures and structures with locally o-minimal open core
• Uniformly locally o-minimal structures and locally o-minimal structures admitting local definable cell decomposition
• Almost o-minimal structures and \(\mathfrak{X}\)-structures
• O-MINIMALISM
• Groups, group actions and fields definable in first-order topological structures
• Directed sets and topological spaces definable in o‐minimal structures
• Structures having o-minimal open core
• Notes on local o-minimality
• First order topological structures and theories
• Expansions of dense linear orders with the intermediate value property
• Definable Compactness and Definable Subgroups of o-Minimal Groups
• INTERPRETABLE SETS IN DENSE O-MINIMAL STRUCTURES
• CONNECTEDNESS IN STRUCTURES ON THE REAL NUMBERS: O-MINIMALITY AND UNDECIDABILITY
• DIMENSION INEQUALITY FOR A DEFINABLY COMPLETE UNIFORMLY LOCALLY O-MINIMAL STRUCTURE OF THE SECOND KIND
• LOCALLY O-MINIMAL STRUCTURES WITH TAME TOPOLOGICAL PROPERTIES
• Tameness of definably complete locally o‐minimal structures and definable bounded multiplication
• Decomposition into special submanifolds

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