On a generalization of density topologies on the real line

DOI10.1016/J.TOPOL.2015.11.005zbMath1332.54006OpenAlexW2195366494MaRDI QIDQ906496

Filip Strobin, Renata Wiertelak

Publication date: 21 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.11.005

zbMATH Keywords

density topologydensity pointalmost lower density operatorgeneralizations of density topologylower density operatortopology generated by lower density operator

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Topological spaces and generalizations (closure spaces, etc.) (54A05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (8)

On a strong generalized topology with respect to the outer Lebesgue measure ⋮ Algebrability of \(\mathcal{S}\)-continuous functions ⋮ Lower density type operators with Borel values ⋮ On strong porosity of some families of functions ⋮ Darboux functions related to generalization of approximately continuity ⋮ On \(\mathcal{S}\)-approximately continuous functions ⋮ Comparison of families of \(\mathcal{S} \)-continuous functions ⋮ On some properties of operators generated by regular sequences of measurable sets

Cites Work

• Density topology and approximate continuity
• The density topology
• On the generalization of density topologies on the real line
• Approximately Continuous Transformations
• ℐ-density continuous functions
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