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

In: Сибирские электронные математические известия, Vol. 14, 2017, p. 765-773.

Research output: Contribution to journal › Article › peer-review

Harvard

Greshnov, AVY 2017, 'Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces', Сибирские электронные математические известия, vol. 14, pp. 765-773. https://doi.org/10.17377/semi.2017.14.065

APA

Greshnov, A. V. Y. (2017). Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces. Сибирские электронные математические известия, 14, 765-773. https://doi.org/10.17377/semi.2017.14.065

Vancouver

Greshnov AVY. Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces. Сибирские электронные математические известия. 2017;14:765-773. doi: 10.17377/semi.2017.14.065

Author

Greshnov, Alexandr Valer yevich. / Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces. In: Сибирские электронные математические известия. 2017 ; Vol. 14. pp. 765-773.

BibTeX

@article{500e4460226047ee9ab02a0d16fd279a,
title = "Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces",
abstract = "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.",
keywords = "(q1; q2)-quasimetric, Distance function, Interior of (q1; q2)-quasimetric ball, Lim-weak symmetry, Open set, Regularization of a (q1; q2)-quasimetric, Separation axioms",
author = "Greshnov, {Alexandr Valer yevich}",
year = "2017",
doi = "10.17377/semi.2017.14.065",
language = "English",
volume = "14",
pages = "765--773",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces

AU - Greshnov, Alexandr Valer yevich

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - (q1; q2)-quasimetric

KW - Distance function

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

KW - Lim-weak symmetry

KW - Open set

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

KW - Separation axioms

UR - http://www.scopus.com/inward/record.url?scp=85027699008&partnerID=8YFLogxK

U2 - 10.17377/semi.2017.14.065

DO - 10.17377/semi.2017.14.065

M3 - Article

AN - SCOPUS:85027699008

VL - 14

SP - 765

EP - 773

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 9049796