Some problems of regularity of f-quasimetrics

Alexandr Valer yevich Greshnov

doi:10.17377/semi.2018.15.032

Some problems of regularity of f-quasimetrics

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We get a new proof for validity of T₄-axiom of separation for weak symmetric f-quasimetric spaces. Using this proof we get T₄- property for more general classes of f-quasimetric spaces. We construct the symmetric (q,q)-quasimetric space (X,d) such that distance function d(u,v) is continuous to each variables but (ρ(x₀,x_n) + ρ(y₀; y_n)) 0 ρ(x_n,y_n) = ρ(x₀,y₀).

Язык оригинала	английский
Страницы (с-по)	355-361
Число страниц	7
Журнал	Siberian Electronic Mathematical Reports
Том	15
DOI	https://doi.org/10.17377/semi.2018.15.032
Состояние	Опубликовано - 1 янв 2018

Доступ к документу

10.17377/semi.2018.15.032

Link to publication in Scopus

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