Density topologies for strictly positive Borel measures

DOI10.1016/J.TOPOL.2021.107857zbMath1480.54006OpenAlexW3204285687WikidataQ114128038 ScholiaQ114128038MaRDI QIDQ2665200

Tomasz Filipczak, Małgorzata Filipczak, Grażyna Horbaczewska

Publication date: 18 November 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107857

zbMATH Keywords

homeomorphismBorel measuresseparation axiomsdensity topologies

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Cites Work

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• Density topology and approximate continuity
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• Differentiation of real functions
• On density points of subsets of metric space with respect to the measure given by Radon-Nikodým derivative
• Nonseparable spaceability and strong algebrability of sets of continuous singular functions
• Densities generated by equivalent measures
• ON DENSITY WITH RESPECT TO EQUIVALENT MEASURES

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