TOPOLOGIES INDUCED BY (3, 1, ρ)-METRIC AND (3, 2, ρ)-METRICS

Donco Dimovski; Sonja B. Chalamani

Mathematical Conferences Niš, Serbia, 13th Serbian Mathematical Congress

Donco Dimovski, Sonja B. Chalamani

Last modified: 2014-03-08

Abstract

For a given (3, j, ρ)-metric d on a set M, j ∈ {1, 2}, we define seven topologies on M induced by d, give some examples, examine the connection among them, and show that some other topologies induced by generalized metrics are special cases of the above ones.

Keywords

metric spaces, metrizable topological spaces, 3-metric, 3-metrizable topological spaces.