近似逆极限和(m,n)维

Pub Date : 2020-06-12 DOI:10.3336/gm.55.1.11

M. Lynam, L. Rubin

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引用次数: 0

摘要

2012年，V. Fedorchuk利用m对和n分区，引入了空间(m, n)维的概念。它概括了覆盖维数。这里我们将在紧度量空间的近似逆系统的背景下研究这个概念。我们给出了(m,n)-dimX的一个特征，其中X是一个近似逆系统的极限，严格地用给定系统表示。

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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Approximate inverse limits and (m,n)-dimensions

In 2012, V. Fedorchuk, using m-pairs and n-partitions, introduced the notion of the (m, n)-dimension of a space. It generalizes covering dimension. Here we are going to look at this concept in the setting of approximate inverse systems of compact metric spaces. We give a characterization of (m,n)-dimX, where X is the limit of an approximate inverse system, strictly in terms of the given system.

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