On the Vertical Similarly Homogeneous R-Trees
- Авторы: Andreev P.1, Bulygin A.1
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Учреждения:
- Northern (Arctic) Federal University
- Выпуск: Том 40, № 2 (2019)
- Страницы: 127-139
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203875
- DOI: https://doi.org/10.1134/S1995080219020033
- ID: 203875
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Аннотация
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.
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Об авторах
P. Andreev
Northern (Arctic) Federal University
Автор, ответственный за переписку.
Email: pdandreev@mail.ru
Россия, Severnaya Dvina Emb. 17, Arkhangelsk, 163002
A. Bulygin
Northern (Arctic) Federal University
Автор, ответственный за переписку.
Email: alexey.buligin@gmail.com
Россия, Severnaya Dvina Emb. 17, Arkhangelsk, 163002
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