Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3652
Articles: 2'545'386
Articles rated: 2609

24 June 2024
 
  » arxiv » 2302.00305

 Article overview



Constructions of Urysohn universal ultrametric spaces
Yoshito Ishiki ;
Date 1 Feb 2023
AbstractIn this paper, we give new constructions of Urysohn universal ultrametric spaces. We first characterize a Urysohn universal ultrametric subspace of the space of continuous functions from a zero-dimensional compact Hausdorff space without isolated pints into the space of non-negative real numbers equipped with the nearly discrete topology. As a consequence, the whole function space is Urysohn universal, which can be considered as a non-Archimedean analogue of Banach--Mazur theorem. Moreover, we prove that the space of continuous pseudo-ultrametrics on a zero-dimensional compact Hausdorff space with an accumulation point is a Urysohn universal ultrametric space. This result can be considered as an analogue of Wan’s construction of Urysohn universal ultrametric space via the Gromov--Hausdorff ultrametric space.
Source arXiv, 2302.00305
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.






ScienXe.org
» my Online CV
» Free

home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2024 - Scimetrica