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- W3037849969 abstract "We consider locally o-minimal structures possessing tame topological properties shared by models of DCTC and uniformly locally o-minimal expansions of the second kind of densely linearly ordered abelian groups. We derive basic properties of dimension of a set definable in the structures including the addition property, which is the dimension equality for definable maps whose fibers are equi-dimensional. A decomposition theorem into quasi-special submanifolds is also demonstrated." @default.
- W3037849969 created "2020-07-02" @default.
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- W3037849969 date "2020-06-24" @default.
- W3037849969 modified "2023-09-27" @default.
- W3037849969 title "Locally o-minimal structures with tame topological properties" @default.
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