Generalized Angles in Ptolemaic Möbius Structures. II
- Авторлар: Aseev V.1
-
Мекемелер:
- Sobolev Institute of Mathematics
- Шығарылым: Том 59, № 5 (2018)
- Беттер: 768-777
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172012
- DOI: https://doi.org/10.1134/S0037446618050038
- ID: 172012
Дәйексөз келтіру
Аннотация
We continue studying the BAD class of multivalued mappings of Ptolemaic Möbius structures in the sense of Buyalo with controlled distortion of generalized angles. In Möbius structures we introduce a Möbius-invariant version of the HTB property (homogeneous total boundedness) of metric spaces which is qualitatively equivalent to the doubling property. We show that in the presence of this property and the uniform perfectness property, a single-valued mapping is of the BAD class iff it is quasimöbius.
Авторлар туралы
V. Aseev
Sobolev Institute of Mathematics
Хат алмасуға жауапты Автор.
Email: btp@math.nsc.ru
Ресей, Novosibirsk