We study the notion of \(\psi\)-sparse point and \(\psi\)-sparse topology for nondecreasing continuous function \(\psi\). We show that \(\psi\)-sparse topology is stronger then the \(\psi\)-density topology and weaker than the density topology.
"Topologies Generated by the ψ-Sparse Sets." Real Anal. Exchange 36 (2) 257 - 268, 2010/2011.