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2010/2011 Topologies Generated by the ψ-Sparse Sets
Anna Gożdziewicz-Smejda, Ewa Łazarow
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Real Anal. Exchange 36(2): 257-268 (2010/2011).


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.


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Anna Gożdziewicz-Smejda. Ewa Łazarow. "Topologies Generated by the ψ-Sparse Sets." Real Anal. Exchange 36 (2) 257 - 268, 2010/2011.


Published: 2010/2011
First available in Project Euclid: 11 November 2011

zbMATH: 1250.26001
MathSciNet: MR3016715

Primary: 26A03 , 26A04
Secondary: 26A05

Keywords: \(\psi\)-sparse point , \(\psi\)-sparse topology , density topology

Rights: Copyright © 2010 Michigan State University Press

Vol.36 • No. 2 • 2010/2011
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