Approximations by differences of lower semicontinuous and finely continuous functions

DOI10.14321/realanalexch.44.2.0369zbMath1471.26001OpenAlexW3007615280MaRDI QIDQ2188790

Petr Pošta, Jaroslav Lukeš

Publication date: 11 June 2020

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1588298429

zbMATH Keywords

fine topologydensity topology\(p\)-fine topologycategorial density topologyfinely continuous functionsporous topology

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Fine potential theory; fine properties of sets and functions (31C40) Classification of real functions; Baire classification of sets and functions (26A21)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Density topology and approximate continuity
• Fine topology methods in real analysis and potential theory
• Porosity, \({\mathcal I}\)-density topology and abstract density topologies
• Singular solutions to \(p\)-Laplacian type equations
• Dirichlet problem and subclasses of Baire-one functions
• Potential theory. An analytic and probabilistic approach to balayage
• Topologies generated by porosity and strong porosity
• Approximations by differences of lower semicontinuous functions
• A Classification of Baire Class 1 Functions
• One more difference between measure and category
• Connectedness in fine topologies
• A category analogue of the generalization of Lebesgue density topology
• ℐ-density continuous functions
• On a Theorem Concerning Baire Functions
• Potentials and positively infinite singularities of harmonic functions

This page was built for publication: Approximations by differences of lower semicontinuous and finely continuous functions