规则的投影和规则的覆盖最小的结构

IF 0.7 4区数学 Q2 MATHEMATICS

Annales Polonici Mathematici Pub Date : 2021-10-12 DOI:10.4064/ap211206-3-1

M'hammed Oudrane

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引用次数: 0

摘要

在本文中，我们证明了对于多项式有界o-极小结构中的任何可定义子集$X\subet\mathbb｛R｝^｛n｝$，在$dim（X）＜n$的情况下，存在一个有限的正则投影集（在Mostowski意义上）。在任何o-极小结构中，我们也给出了这个定理的一个弱版本，并且在非多项式有界的o-最小结构中给出了一个反例。作为一个应用，我们证明了在任何o-minimum结构中都存在Parusi’nski意义上的正则覆盖。

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Regular projections and regular covers in o-minimal structures

In this paper we prove that for any definable subset $X\subset \mathbb{R}^{n}$ in a polynomially bounded o-minimal structure, with $dim(X)

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来源期刊

Annales Polonici Mathematici 数学-数学

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba. The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.

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