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	Сибирские электронные математические известия
Том	15
DOI	https://doi.org/10.17377/semi.2018.15.032
Состояние	Опубликовано - 1 янв. 2018

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10.17377/semi.2018.15.032

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abstract = "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).",

keywords = "Convergence, Distance function, F-quasimetric, Interior and closure of a set, Open set, Separation axioms, Weak symmetry, distance function, convergence, SPACES, f-quasimetric, interior and closure of a set, weak symmetry, separation axioms, open set",

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Some problems of regularity of f-quasimetrics. / Greshnov, Alexandr Valer yevich.

В: Сибирские электронные математические известия, Том 15, 01.01.2018, стр. 355-361.

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

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AB - 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).

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KW - Distance function

KW - F-quasimetric

KW - Interior and closure of a set

KW - Open set

KW - Separation axioms

KW - Weak symmetry

KW - distance function

KW - convergence

KW - SPACES

KW - f-quasimetric

KW - interior and closure of a set

KW - weak symmetry

KW - separation axioms

KW - open set

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DO - 10.17377/semi.2018.15.032

M3 - Article

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SP - 355

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JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

Some problems of regularity of f-quasimetrics

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