Decomposition into special submanifolds

Mathematical Logic Quarterly 69 (1):104-116 (2023)
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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.

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10.1002/malq.202200057

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Locally o-Minimal Structures with Tame Topological Properties.Masato Fujita - 2023 - Journal of Symbolic Logic 88 (1):219-241.

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