Locally o-minimal structures

DOI10.2969/jmsj/06430783zbMath1259.03051OpenAlexW1966671634MaRDI QIDQ455004

Hiroshi Tanaka, Kota Takeuchi, Akito Tsuboi, Tomohiro Kawakami

Publication date: 2 October 2012

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1343133743

zbMATH Keywords

cell decompositionlocal o-minimalitysimple products

Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64)

Related Items (11)

Externally definable quotients and NIP expansions of the real ordered additive group ⋮ Almost o-minimal structures and \(\mathfrak{X}\)-structures ⋮ CONNECTEDNESS IN STRUCTURES ON THE REAL NUMBERS: O-MINIMALITY AND UNDECIDABILITY ⋮ Fractals and the monadic second order theory of one successor ⋮ 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 ⋮ Uniformly locally o-minimal structures and locally o-minimal structures admitting local definable cell decomposition ⋮ A tetrachotomy for expansions of the real ordered additive group ⋮ LOCALLY O-MINIMAL STRUCTURES WITH TAME TOPOLOGICAL PROPERTIES

Cites Work

• Weakly o-minimal nonvaluational structures
• Geometry of subanalytic and semialgebraic sets
• A guide to classical and modern model theory
• Geometric categories and o-minimal structures
• Notes on local o-minimality
• Definable Sets in Ordered Structures. II
• Weakly o-minimal structures and real closed fields
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