Assouad type dimensions of homogeneous Moran sets and Cantor-like sets
General Topology
2025-01-17 v2
Abstract
In this paper, we give the Assouad dimension formula and the upper bound of the lower dimension for homogeneous Moran sets under the condition . We also give the Assouad spectrum and the lower spectrum formulas for Cantor-like sets.
Keywords
Cite
@article{arxiv.2407.14837,
title = {Assouad type dimensions of homogeneous Moran sets and Cantor-like sets},
author = {Yanzhe Li and Jun Li and Shuang Liang and Manli Lou},
journal= {arXiv preprint arXiv:2407.14837},
year = {2025}
}