Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics | Sciact - Система учета научной деятельности ИМ СО РАН

Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics Научная публикация

Журнал

Topology and its Applications
ISSN: 0166-8641

Вых. Данные

Год: 2017, Том: 221, Страницы: 178–194 Страниц : DOI: 10.1016/j.topol.2017.02.035

Ключевые слова

f-Quasimetric space; Metrizability; Quasimetric

Авторы

Greshnov A.V. ^3,4 , Arutyunov A.V. ^1,2 , Lokutsievskii L.V. ^2,5 , Storozhuk K.V. ^3,4

Организации

1	Peoples' Friendship University of Russia
2	Lomonosov Moscow State University
3	Novosibirsk State University
4	Sobolev Institute of Mathematics
5	Математический институт им. В.А. Стеклова РАН

The properties of spaces equipped with a topology defined by a distance function are studied. The considered distance function is not necessarily symmetric but satisfies the so-called f-triangle inequality, which is a weakened version of the usual triangle inequality. Sufficient conditions for metrizability of such spaces are proposed. Aconstruction of a quasimetric topologically equivalent to a given f-quasimetric is proposed.

Greshnov A.V. , Arutyunov A.V. , Lokutsievskii L.V. , Storozhuk K.V.
Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics
Topology and its Applications. 2017. V.221. P.178–194. DOI: 10.1016/j.topol.2017.02.035 WOS Scopus OpenAlex

Опубликована online:	11 февр. 2017 г.
Опубликована в печати:	15 апр. 2017 г.

Web of science:	WOS:000398875400017
Scopus:	2-s2.0-85013771799
OpenAlex:	W2586821284

БД	Цитирований
Scopus	28
OpenAlex	26
Web of science	23