分解为特殊子流形

IF 0.4 4区数学 Q4 LOGIC

Mathematical Logic Quarterly Pub Date : 2023-05-10 DOI:10.1002/malq.202200057

Masato Fujita

引用次数: 6

摘要

我们研究了有序群的可定义完全局部o-极小展开。我们提出了一个具有管状邻域的特殊子流形的概念，并证明了任何可定义集都可以分解为有限多个具有管状邻居的特殊子子流形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Decomposition into special submanifolds

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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来源期刊

Mathematical Logic Quarterly 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Logic Quarterly publishes original contributions on mathematical logic and foundations of mathematics and related areas, such as general logic, model theory, recursion theory, set theory, proof theory and constructive mathematics, algebraic logic, nonstandard models, and logical aspects of theoretical computer science.