Автор(ы): Арутюнов А. В. (ИПУ РАН, Лаборатория 45)Грешнов А. В. (НГУ)Локуциевский Л. В. (МИРАН)Сторожук К. В. (НГУ)Автор(ов): 4 Параметры публикацииТип публикации: Статья в журнале/сборникеНазвание: Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetricsНаименование источника: Topology and its ApplicationsГород: AmsterdamИздательство: ElsevierГод издания: 2017Страницы: 178-194 АннотацияThe 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.