Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces

Alexandr Valer yevich Greshnov

doi:10.17377/semi.2017.14.065

Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces

Alexandr Valer yevich Greshnov

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

2 Цитирования (Scopus)

Аннотация

We get some estimates for interior of arbitrary (q1; q2)-quasimetric ball. We prove theorem of regularization of (q1; q2)-quasimetric that generalizes corresponding results of R. Alvarado and M. Mitrea. We introduce a notion of lim-weak symmetric (q1; q2)-quasimetric space and prove that every lim-weak symmetric (q1; q2)-quasimetric space satisfies T₃-axiom.

Язык оригинала	английский
Страницы (с-по)	765-773
Число страниц	9
Журнал	Сибирские электронные математические известия
Том	14
DOI	https://doi.org/10.17377/semi.2017.14.065
Состояние	Опубликовано - 2017

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

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10.17377/semi.2017.14.065

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Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces. / Greshnov, Alexandr Valer yevich.

В: Сибирские электронные математические известия, Том 14, 2017, стр. 765-773.

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

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KW - Interior of (q1; q2)-quasimetric ball

KW - Lim-weak symmetry

KW - Open set

KW - Regularization of a (q1; q2)-quasimetric

KW - Separation axioms

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