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Some problems of regularity of f-quasimetrics Научная публикация

Журнал

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Вых. Данные

Год: 2018, Том: 15, Страницы: 355-361 Страниц : 7 DOI: 10.17377/semi.2018.15.032

Ключевые слова

Convergence; Distance function; F-quasimetric; Interior and closure of a set; Open set; Separation axioms; Weak symmetry

Авторы

Greshnov A.V. ^1,2

Организации

1	Novosibirsk State University, Ul. Pirogova, 1, Novosibirsk, 630090, Russian Federation
2	Sobolev Institute of Mathematics, Pr. Koptyuga, 4, Novosibirsk, 630090, Russian Federation

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,xn) + ρ(y0; yn)) 0 ρ(xn,yn) = ρ(x0,y0). © 2018 Sobolev Institute of Mathematics.

Greshnov A.V.
Some problems of regularity of f-quasimetrics
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.355-361. DOI: 10.17377/semi.2018.15.032 WOS Scopus

Web of science:	WOS:000438412200032
Scopus:	2-s2.0-85046073946

БД	Цитирований
Scopus	3
Web of science	3