A category analogue of the density topology, approximate continuity and the approximate derivative

zbMath0593.26008MaRDI QIDQ1076180

Władysław Wilczyński

Publication date: 1985

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

zbMATH Keywords

first categoryapproximate derivative\(\sigma\)-idealapproximate continuity\(\sigma\)-algebra of allcategory analogue of the density pointsubsets of R having the Baire property

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (11)

Category product densities and liftings ⋮ Locally recurrent functions, density topologies and algebraic genericity ⋮ Approximate differentiability almost everywhere ⋮ On some subclasses of the family of Darboux Baire 1 functions ⋮ On a result of Bruckner relating to directional linear categorical density in Euclidean plane ⋮ On functions continuous with respect to a density type strong generalized topology ⋮ Families of Darboux functions and topology having \((\mathcal{J}^\ast)\)-property ⋮ Semigroups of \(\mathcal I\)-density continuous functions ⋮ Darboux functions related to generalization of approximately continuity ⋮ On some generalization of the notion of continuity. Category case ⋮ \(\mathcal{A}\)-continuity and measure

This page was built for publication: A category analogue of the density topology, approximate continuity and the approximate derivative