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Decomposition into special submanifolds |
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| Authors: | Masato Fujita |
| Institution: | Department of Liberal Arts, Japan Coast Guard Academy, Hiroshima, Japan |
| 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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