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Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics. / Arutyunov, A. V.; Greshnov, A. V.; Lokutsievskii, L. V. et al.

In: Topology and its Applications, Vol. 221, 15.04.2017, p. 178-194.

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

Harvard

Arutyunov, AV, Greshnov, AV, Lokutsievskii, LV & Storozhuk, KV 2017, 'Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics', Topology and its Applications, vol. 221, pp. 178-194. https://doi.org/10.1016/j.topol.2017.02.035

APA

Arutyunov, A. V., Greshnov, A. V., Lokutsievskii, L. V., & Storozhuk, K. V. (2017). Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics. Topology and its Applications, 221, 178-194. https://doi.org/10.1016/j.topol.2017.02.035

Vancouver

Arutyunov AV, Greshnov AV, Lokutsievskii LV, Storozhuk KV. Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics. Topology and its Applications. 2017 Apr 15;221:178-194. doi: 10.1016/j.topol.2017.02.035

Author

Arutyunov, A. V. ; Greshnov, A. V. ; Lokutsievskii, L. V. et al. / Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics. In: Topology and its Applications. 2017 ; Vol. 221. pp. 178-194.

BibTeX

@article{e31cfdfef4e1469a9bdb8e40fdea63e4,
title = "Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics",
abstract = "The properties of spaces equipped with a topology defined by a distance function are studied. The considered distance function is not necessarily symmetric but satisfies the so-called f-triangle inequality, which is a weakened version of the usual triangle inequality. Sufficient conditions for metrizability of such spaces are proposed. A construction of a quasimetric topologically equivalent to a given f-quasimetric is proposed.",
keywords = "f-Quasimetric space, Metrizability, Quasimetric",
author = "Arutyunov, {A. V.} and Greshnov, {A. V.} and Lokutsievskii, {L. V.} and Storozhuk, {K. V.}",
note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",
year = "2017",
month = apr,
day = "15",
doi = "10.1016/j.topol.2017.02.035",
language = "English",
volume = "221",
pages = "178--194",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics

AU - Arutyunov, A. V.

AU - Greshnov, A. V.

AU - Lokutsievskii, L. V.

AU - Storozhuk, K. V.

N1 - Publisher Copyright: © 2017 Elsevier B.V.

PY - 2017/4/15

Y1 - 2017/4/15

N2 - The properties of spaces equipped with a topology defined by a distance function are studied. The considered distance function is not necessarily symmetric but satisfies the so-called f-triangle inequality, which is a weakened version of the usual triangle inequality. Sufficient conditions for metrizability of such spaces are proposed. A construction of a quasimetric topologically equivalent to a given f-quasimetric is proposed.

AB - The properties of spaces equipped with a topology defined by a distance function are studied. The considered distance function is not necessarily symmetric but satisfies the so-called f-triangle inequality, which is a weakened version of the usual triangle inequality. Sufficient conditions for metrizability of such spaces are proposed. A construction of a quasimetric topologically equivalent to a given f-quasimetric is proposed.

KW - f-Quasimetric space

KW - Metrizability

KW - Quasimetric

UR - http://www.scopus.com/inward/record.url?scp=85013771799&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2017.02.035

DO - 10.1016/j.topol.2017.02.035

M3 - Article

AN - SCOPUS:85013771799

VL - 221

SP - 178

EP - 194

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

ER -

ID: 9049761