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

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

Journal

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

Output data

Year: 2017, Volume: 14, Pages: 765-773 Pages count : 9 DOI: 10.17377/semi.2017.14.065

Tags

(q1; q2)-quasimetric; Distance function; Interior of (q1; q2)-quasimetric ball; Lim-weak symmetry; Open set; Regularization of a (q1; q2)-quasimetric; Separation axioms

Authors

Greshnov A.V. ^1,2

Affiliations

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 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. © 2017.

Greshnov A.V.
Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2017. V.14. P.765-773. DOI: 10.17377/semi.2017.14.065 WOS Scopus

Web of science:	WOS:000407792200065
Scopus:	2-s2.0-85027699008

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