A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric
نویسندگان
چکیده
We establish universality and ultra-homogeneity of ( U , u GH ) the collection all compact ultrametric spaces endowed with so-called Gromov-Hausdorff . This result also gives rise to a novel construction R-Urysohn universal space for each countable subset R ⊂ ≥ 0 containing 0.
منابع مشابه
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Article history: Received 15 July 2009 Received in revised form 2 December 2010 Accepted 5 December 2010
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2021
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2021.107759