# 52527

## Автор(ов):

4

Параметры публикации

## Тип публикации:

Статья в журнале/сборнике

## Название:

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

## Наименование источника:

• Topology and its Applications

• Amsterdam

• Elsevier

2017

## Страницы:

178-194
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

## Библиографическая ссылка:

Арутюнов А.В., Грешнов А.В., Локуциевский Л.В., Сторожук К.В. Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics // Topology and its Applications. 2017. С. 178-194.