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Separation properties for some topologies induced by \((3, j, \rho\))-metrics; \(j \in \{1, 2\}\). (English) Zbl 1329.54024

Summary: For a given \((3,j,\rho)\)-metric \(d\) on a set \(M\), \(j\in\{1,2\}\) we examine necessary and sufficient conditions for \(d\) providing some separation properties of the topologies on \(M\) induced by the \((3,j,\rho)\)-metric \(d\).

MSC:

54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)