Baire 1 functions, approximately continuous functions and derivatives

DOI10.1007/BF01901760zbMath0279.26003MaRDI QIDQ4765345

Miklós Laczkovich, Gy. Petruska

Publication date: 1974

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Mathematics Subject Classification ID

Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (32)

Differentiable extension theorem: a lost proof of V. Jarník ⋮ Extending n times differentiable functions of several variables ⋮ Extension theorems on derivatives of additive interval functions ⋮ Differentiable Restrictions of Real Functions ⋮ Most Darboux Baire 1 functions map big sets onto small sets ⋮ Representations of Functions by Derivatives ⋮ Level Sets of Derivatives ⋮ Typical bad differentiable extensions ⋮ Covering functions by countably many functions from some families ⋮ An auto-homeomorphism of a Cantor set with derivative zero everywhere ⋮ Does every continuous function have an antiderivative? ⋮ Uniform limits of preponderantly continuous functions ⋮ Separation and approximation theorems on derivatives ⋮ Separation properties of some subclasses of Baire 1 functions ⋮ Differentiability versus continuity: Restriction and extension theorems and monstrous examples ⋮ A joint generalization of Whitney's extension theorem and Aversa-Laczkovich-Preiss' extension theorem ⋮ Extensions of vector-valued functions with preservation of derivatives ⋮ Doubly paradoxical functions of one variable ⋮ Separation of sets by derivatives ⋮ Characteristic Functions and Products of Bounded Derivatives ⋮ Averaging processes on function classes ⋮ Sur le prolongement des fonctions ⋮ Separation of sets by bounded derivatives ⋮ Sur les suites transfinies ⋮ First return path systems: Differentiability, continuity, and orderings ⋮ Unnamed Item ⋮ Differentiable restrictions of continuous functions ⋮ On the extension of functions of the first Baire class ⋮ Smooth extension theorems for one variable maps ⋮ Selective, bi-selective, and composite differentiation ⋮ Derivatives and closed sets ⋮ Ordinarily approximately continuous selections

Cites Work

• Sur les dérivées dont les zéros forment un ensemble frontière partout dense
• A theorem on approximately continuous functions
• Sur La Premiere Derivee
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Baire 1 functions, approximately continuous functions and derivatives