Decomposition into special submanifolds
نویسندگان
چکیده
We study definably complete locally o-minimal expansions of ordered groups in this paper. A definable continuous function defined on a closed, bounded and set behave like compact set. demonstrate uniform continuity Arzela-Ascoli-type theorem. propose notion special submanifolds with tubular neighborhoods show that any is decomposed into finitely many neighborhoods.
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ژورنال
عنوان ژورنال: Mathematical Logic Quarterly
سال: 2023
ISSN: ['0942-5616', '1521-3870']
DOI: https://doi.org/10.1002/malq.202200057