A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä

Totally bounded ultrametric spaces generated by labeled rays



Tekijät: Dovgoshey, Oleksiy; Vito, Valentino

Kustantaja: Editorial de la Universidad Politécnica de Valencia

Julkaisuvuosi: 2025

Journal: Applied general topology

Vuosikerta: 26

Numero: 1

Aloitussivu: 163

Lopetussivu: 182

ISSN: 1576-9402

eISSN: 1989-4147

DOI: https://doi.org/10.4995/agt.2025.21269

Verkko-osoite: https://doi.org/10.4995/agt.2025.21269

Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/491327663


Tiivistelmä

We will say that an infinite tree T is almost a ray if T is the union of a ray and a finite tree.  Let l be a non-degenerate labeling of the vertex set V of almost a ray T and let dl be the corresponding ultrametric on V.  It is shown that the ultrametric space (V, dl) is totally bounded if this space contains an infinite totally bounded subspace.  We also prove that the last property characterizes the almost rays.


Ladattava julkaisu

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.

Julkaisussa olevat rahoitustiedot: 
The first author was supported by grant 359772 of the Academy of Finland.


Last updated on 2025-02-04 at 09:00