\(\psi\)-density topology

DOI10.1007/BF02844336zbMath0963.26003MaRDI QIDQ1809701

Małgorzata Terepeta, Elżbieta Wagner-Bojakowska

Publication date: 28 June 2001

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

density topologyapproximately continuous functions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (12)

\(\psi \)-continuous functions ⋮ On abstract and almost-abstract density topologies ⋮ On topologies generated by some operators ⋮ On \(\Delta_2\) condition for density-type topologies generated by functions ⋮ A category \(\Psi \)-density topology ⋮ On (Δ2) condition in density-type topologies ⋮ Remarks on the topologies in the Lebesgue measurable sets ⋮ \(\mathcal{A}\)-continuity and measure ⋮ Algebrability within the class of Baire 1 functions ⋮ Generalized densities on \(\mathbb{R}^n\) and their applications ⋮ The interior operation in a \(\psi\)-density topology ⋮ A fine property of sets at points of Lebesgue density

Cites Work

• Unnamed Item
• The density topology
• Topologies which generate a complete measure algebra
• On strengthening the Lebesgue Density Theorem

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