Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics Full article
| Journal |
Topology and its Applications
ISSN: 0166-8641 |
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| Output data | Year: 2017, Volume: 221, Pages: 178–194 Pages count : DOI: 10.1016/j.topol.2017.02.035 | ||||||||||
| Tags | f-Quasimetric space; Metrizability; Quasimetric | ||||||||||
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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. Aconstruction of a quasimetric topologically equivalent to a given f-quasimetric is proposed.
Cite:
Greshnov A.V.
, Arutyunov A.V.
, Lokutsievskii L.V.
, Storozhuk K.V.
Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics
Topology and its Applications. 2017. V.221. P.178–194. DOI: 10.1016/j.topol.2017.02.035 WOS Scopus OpenAlex
Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics
Topology and its Applications. 2017. V.221. P.178–194. DOI: 10.1016/j.topol.2017.02.035 WOS Scopus OpenAlex
Dates:
| Published online: | Feb 11, 2017 |
| Published print: | Apr 15, 2017 |
Identifiers:
| Web of science: | WOS:000398875400017 |
| Scopus: | 2-s2.0-85013771799 |
| OpenAlex: | W2586821284 |