An intermediate-value property for Assouad dimension of metric space

作者：Wang, Wen; Wen, Shengyou^*

来源：Topology and Its Applications, 2016, 209: 120-133.

DOI：10.1016/j.topol.2016.05.022

• Assouad dimension
• Intermediate-value property

Let X be a bounded metric space of finite Assouad dimension s. We prove that, for every alpha is an element of (0, s), there is a countable subset of X of Assouad dimension alpha.

• 出版日期2016-8-15
• 单位湖北大学; 云南大学