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

A. V. Arutyunov; A. V. Greshnov; L. V. Lokutsievskii; K. V. Storozhuk

doi:10.1016/j.topol.2017.02.035

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

A. V. Arutyunov, A. V. Greshnov, L. V. Lokutsievskii, K. V. Storozhuk

Кафедра математического анализа ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

15 Цитирования (Scopus)

Аннотация

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. A construction of a quasimetric topologically equivalent to a given f-quasimetric is proposed.

Язык оригинала	английский
Страницы (с-по)	178-194
Число страниц	17
Журнал	Topology and its Applications
Том	221
DOI	https://doi.org/10.1016/j.topol.2017.02.035
Состояние	Опубликовано - 15 апр 2017

Доступ к документу

10.1016/j.topol.2017.02.035

Link to publication in Scopus

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Цитировать

Arutyunov, A. V., Greshnov, A. V., Lokutsievskii, L. V., & Storozhuk, K. V. (2017). Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics. Topology and its Applications, 221, 178-194. https://doi.org/10.1016/j.topol.2017.02.035

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Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics. / Arutyunov, A. V.; Greshnov, A. V.; Lokutsievskii, L. V.; Storozhuk, K. V.

В: Topology and its Applications, Том 221, 15.04.2017, стр. 178-194.

Результат исследования: Научные публикации в периодических изданиях › статья

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