Abstract
The paper includes a necessary and sufficient condition under which two $\psi$-density topologies generated by two functions $\psi_1$ and $\psi_2$ are equal. The condition is formulated in terms of the behavior of two sequences of sets: $A_k^+ =\{ x\in \mathbb{R}_+: \psi_1(2x) <\frac{1}{k} \psi_2(2x)\}$ and $B_k^+ =\{ x\in \mathbb{R}_+: \psi_2(2x) < \frac{1}{k} \psi_1(2x)\}.$
Citation
Elżbieta Wagner-BojakowskaWilczyński. Władysław Wilczyński. "Comparison of ψ-Density Topologies." Real Anal. Exchange 25 (2) 661 - 672, 1999/2000.
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