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Intermediate-value property for Assouad dimension by its inversion invariance
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-04-20 , DOI: 10.1016/j.topol.2021.107700 Jouni Luukkainen
中文翻译:
通过反演不变性获得的Assouad维的中间值属性
更新日期:2021-04-29
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-04-20 , DOI: 10.1016/j.topol.2021.107700 Jouni Luukkainen
We prove that if X is a metric space of Assouad dimension , then for every there is a countable subset of X of Assouad dimension α. We reduce this to the special case of bounded X due to Wang and Wen in 2016 by using the inversion invariance of Assouad dimension.
中文翻译:
通过反演不变性获得的Assouad维的中间值属性
我们证明如果X是Assouad维的度量空间,然后每 有一个可数子集X Assouad尺寸的α。通过使用Assouad维数的反演不变性,我们将此归结为2016年由于Wang和Wen引起的有界X的特例。