A1 Refereed original research article in a scientific journal

Strongly ultrametric preserving functions




AuthorsDovgoshey Oleksiy

PublisherElsevier

Publication year2024

JournalTopology and its Applications

Journal name in sourceTopology and its Applications

Article number108931

Volume351

ISSN0166-8641

eISSN1879-3207

DOIhttps://doi.org/10.1016/j.topol.2024.108931(external)

Web address https://doi.org/10.1016/j.topol.2024.108931(external)

Self-archived copy’s web addresshttps://arxiv.org/abs/2401.15922(external)

Preprint addresshttps://arxiv.org/abs/2401.15922v1(external)


Abstract
An ultrametric preserving function f is said to be strongly ultrametric preserving if ultrametrics d and f∘d define the same topology on X for each ultrametric space (X,d). The set of all strongly ultrametric preserving functions is characterized by several distinctive features. In particular, it is shown that an ultrametric preserving f belongs to this set iff f preserves the property to be compact.



Last updated on 2024-26-11 at 23:12