论文标题
措施的中间价值属性
Intermediate value property for the Assouad dimension of measures
论文作者
论文摘要
Hare，Mendivil和Zuberman最近表明，如果$ x $是REALS的紧凑子集和非零Assouad Dimension $ \ dim_a X $的一个紧凑型子集，那么对于所有$ s> \ dim_a x $，$ x $，$ x $支持带有Assouad dimension dimension $ s $的度量。我们将此结果推广到任意完整的度量空间。
Hare, Mendivil, and Zuberman have recently shown that if $X$ is a compact subset of the reals and of non-zero Assouad dimension $\dim_A X$, then for all $s>\dim_A X$, $X$ supports measures with Assouad dimension $s$. We generalise this result to arbitrary complete metric spaces.
