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

A. V. Arutyunov, A. V. Greshnov, L. V. Lokutsievskii, K. V. Storozhuk

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)178-194
Number of pages17
JournalTopology and its Applications
Volume221
DOIs
Publication statusPublished - 15 Apr 2017

Keywords

  • f-Quasimetric space
  • Metrizability
  • Quasimetric

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