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 language | English |
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Pages (from-to) | 178-194 |
Number of pages | 17 |
Journal | Topology and its Applications |
Volume | 221 |
DOIs | |
Publication status | Published - 15 Apr 2017 |
Keywords
- f-Quasimetric space
- Metrizability
- Quasimetric