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Decomposition into special submanifolds
Mathematical Logic Quarterly 69 (1):104-116 (2023)
Abstract
We study definably complete locally o‐minimal expansions of ordered groups. We propose a notion of special submanifolds with tubular neighborhoods and show that any definable set is decomposed into finitely many special submanifolds with tubular neighborhoods.Other Versions
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References found in this work
Uniformly locally o-minimal structures and locally o-minimal structures admitting local definable cell decomposition.Masato Fujita - 2020 - Annals of Pure and Applied Logic 171 (2):102756.
Dimension inequality for a definably complete uniformly locally o-minimal structure of the second kind.Masato Fujita - 2020 - Journal of Symbolic Logic 85 (4):1654-1663.
Expansions of dense linear orders with the intermediate value property.Chris Miller - 2001 - Journal of Symbolic Logic 66 (4):1783-1790.
Locally o-Minimal Structures with Tame Topological Properties.Masato Fujita - 2023 - Journal of Symbolic Logic 88 (1):219-241.
Locally o-minimal structures and structures with locally o-minimal open core.Antongiulio Fornasiero - 2013 - Annals of Pure and Applied Logic 164 (3):211-229.
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