同质莫兰集和类康托集的阿苏阿德类型维数

arXiv - MATH - General Topology Pub Date : 2024-07-20 DOI:arxiv-2407.14837

Yanzhe Li, Jun Li, Shuang Liang, Manli Lou

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引用次数: 0

摘要

本文给出了$\sup_{k\ge1}\{n_{k}\}<+\infty$条件下同质莫兰集的阿苏阿德维度公式和下维度的上界。我们还给出了类康托集的阿苏阿德谱和下谱公式。

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Assouad type dimensions of homogeneous Moran sets and Cantor-like sets

In this paper, we give the Assouad dimension formula and the upper bound of the lower dimension for homogeneous Moran sets under the condition $\sup_{k\ge 1}\{n_{k}\}<+\infty$. We also give the Assouad spectrum and the lower spectrum formulas for Cantor-like sets.

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arXiv - MATH - General Topology

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