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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… Click to show full abstract
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:
spaces symmetric;
properties spaces;
symmetric nonsymmetric;
topological geometrical;
topology;
geometrical properties
Journal Title: Topology and its Applications
Year Published: 2017
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Journal Title: Topology and its Applications
Year Published: 2017
Link to full text (if available)
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recommendations!