Topological properties of sets definable in weakly o-minimal structures

DOI10.2178/jsl/1278682203zbMath1200.03023OpenAlexW2148306398MaRDI QIDQ4931093

Roman Wencel

Publication date: 4 October 2010

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

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.407.6940

zbMATH Keywords

topological dimensiondefinable setsweakly o-minimal structures

Mathematics Subject Classification ID

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

Related Items (9)

Almost o-minimal structures and \(\mathfrak{X}\)-structures ⋮ A criterion for the strong cell decomposition property ⋮ Strong cell decomposition property in o-minimal traces ⋮ Tame properties of sets and functions definable in weakly o-minimal structures ⋮ Weakly o-minimal nonvaluational structures ⋮ On the strong cell decomposition property for weakly o-minimal structures ⋮ Uniformly locally o-minimal structures and locally o-minimal structures admitting local definable cell decomposition ⋮ Groups, group actions and fields definable in first-order topological structures ⋮ LOCALLY O-MINIMAL STRUCTURES WITH TAME TOPOLOGICAL PROPERTIES

Cites Work

• Dimension of definable sets, algebraic boundedness and Henselian fields
• On groups and fields definable in o-minimal structures
• Weakly o-minimal structures and real closed fields

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