Email this article On the Vertical Similarly Homogeneous R-Trees
- Authors: Andreev P.D.1, Bulygin A.I.1
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Affiliations:
- Northern (Arctic) Federal University
- Issue: Vol 40, No 2 (2019)
- Pages: 127-139
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203875
- DOI: https://doi.org/10.1134/S1995080219020033
- ID: 203875
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Abstract
We study the class of similarly homogeneous locally complete ℝ-trees with some additional requirements. In particular, vertical and strictly vertical ℝ-trees are defined. The metric classification of strictly vertical ℝ-trees is made: it is shown that every such ℝ-tree is isometric to some model ℝ-tree. For the vertical ℝ-trees which are not strictly vertical it is shown that their branching number is at least continuum.
About the authors
P. D. Andreev
Northern (Arctic) Federal University
Author for correspondence.
Email: pdandreev@mail.ru
Russian Federation, Severnaya Dvina Emb. 17, Arkhangelsk, 163002
A. I. Bulygin
Northern (Arctic) Federal University
Author for correspondence.
Email: alexey.buligin@gmail.com
Russian Federation, Severnaya Dvina Emb. 17, Arkhangelsk, 163002
