Assouad type dimensions of homogeneous Moran sets and Cantor-like sets
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909457368219648 |
|---|---|
| author | Li, Yanzhe Li, Jun Liang, Shuang Lou, Manli |
| author_facet | Li, Yanzhe Li, Jun Liang, Shuang Lou, Manli |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Assouad type dimensions of homogeneous Moran sets and Cantor-like sets Li, Yanzhe Li, Jun Liang, Shuang Lou, Manli General Topology 28A80, 37C45 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. |
| title | Assouad type dimensions of homogeneous Moran sets and Cantor-like sets |
| topic | General Topology 28A80, 37C45 |
| url | https://arxiv.org/abs/2407.14837 |