论文标题

通过Gromov-Hausdorff Ultrametric的新型Urysohn Universal Uliversutric Spots的新颖结构

A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric

论文作者

Wan, Zhengchao

论文摘要

我们建立了$(\ mathcal {u},u_ \ mathrm {gh})$的通用性和超同质性,所有紧凑型超级超级空间的集合与所谓的Gromov-Hausdorff UltrameTric。该结果还产生了每个可算出的子集$ r \ subset \ mathbb {r} _ {\ geq 0} $含有$ 0 $的所谓的$ r $ rusyoshn通用超级超级空间的新颖构造。

We establish universality and ultra-homogeneity of $(\mathcal{U},u_\mathrm{GH})$, the collection of all compact ultrametric spaces endowed with the so-called Gromov-Hausdorff ultrametric. This result also gives rise to a novel construction of the so-called $R$-Uryoshn universal ultrametric space for each countable subset $R\subset\mathbb{R}_{\geq 0}$ containing $0$.

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