Approximately differentiable functions: The r-topology

DOI10.2140/PJM.1977.72.207zbMath0339.26011OpenAlexW2130813248MaRDI QIDQ1230861

Richard J. O'Malley

Publication date: 1977

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1977.72.207

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (13)

Inside the Muchnik degrees. I: Discontinuity, learnability and constructivism ⋮ Linear extensions of some Baire-one functions ⋮ Analytically heavy spaces: analytic Cantor and analytic Baire theorems ⋮ On strong porosity of some families of functions ⋮ Classes of Baire Functions ⋮ Borel-Piecewise Continuous Reducibility for Uniformization Problems ⋮ A category \(\Psi \)-density topology ⋮ Families of Darboux functions and topology having \((\mathcal{J}^\ast)\)-property ⋮ On some generalization of the notion of continuity. Category case ⋮ Approximately continuous functions which are continuous almost everywhere ⋮ \(\mathcal{A}\)-continuity and measure ⋮ ON A METRIC GENERALIZATION OF THE tt-DEGREES AND EFFECTIVE DIMENSION THEORY ⋮ The topology of almost everywhere continuous, approximately continuous functions

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