On the Vertical Similarly Homogeneous R-Trees
- Авторлар: Andreev P.1, Bulygin A.1
-
Мекемелер:
- Northern (Arctic) Federal University
- Шығарылым: Том 40, № 2 (2019)
- Беттер: 127-139
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203875
- DOI: https://doi.org/10.1134/S1995080219020033
- ID: 203875
Дәйексөз келтіру
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.
Негізгі сөздер
Авторлар туралы
P. Andreev
Northern (Arctic) Federal University
Хат алмасуға жауапты Автор.
Email: pdandreev@mail.ru
Ресей, Severnaya Dvina Emb. 17, Arkhangelsk, 163002
A. Bulygin
Northern (Arctic) Federal University
Хат алмасуға жауапты Автор.
Email: alexey.buligin@gmail.com
Ресей, Severnaya Dvina Emb. 17, Arkhangelsk, 163002