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Strongly ultrametric preserving functions
Tekijät: Dovgoshey Oleksiy
Kustantaja: Elsevier
Julkaisuvuosi: 2024
Journal: Topology and its Applications
Tietokannassa oleva lehden nimi: Topology and its Applications
Artikkelin numero: 108931
Vuosikerta: 351
ISSN: 0166-8641
eISSN: 1879-3207
DOI: https://doi.org/10.1016/j.topol.2024.108931
Verkko-osoite: https://doi.org/10.1016/j.topol.2024.108931
Rinnakkaistallenteen osoite: https://arxiv.org/abs/2401.15922
Preprintin osoite: https://arxiv.org/abs/2401.15922v1
Tiivistelmä
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.
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.
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