Email this article Properties and Morphisms of Finite Ultrametric Spaces and Their Representing Trees
- Authors: Dovgoshey O.1, Petrov E.1
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Affiliations:
- Function Theory Department
- Issue: Vol 11, No 1 (2019)
- Pages: 1-20
- Section: Review Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/201132
- DOI: https://doi.org/10.1134/S2070046619010011
- ID: 201132
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Abstract
The present paper is a brief survey of properties of finite ultrametric spaces X and corresponding properties of the representing trees TX obtained by authors over the last six years. Some new results are also presented. In particular, a structural characteristic of the representing trees TX is found for the finite ultrametric spacesX which admit a ball-preserving mapping f: Y → Z for all nonempty Y ⊆ X and Z ⊆ Y.
About the authors
Oleksiy Dovgoshey
Function Theory Department
Author for correspondence.
Email: oleksiy.dovgoshey@gmail.com
Ukraine, Dobrovolskogo str. 1, Slovyansk, 84100
Evgeniy Petrov
Function Theory Department
Email: oleksiy.dovgoshey@gmail.com
Ukraine, Dobrovolskogo str. 1, Slovyansk, 84100
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