Doubly paradoxical functions of one variable

DOI10.1016/j.jmaa.2018.04.012zbMath1388.26008OpenAlexW2795999608MaRDI QIDQ1748306

Cheng-Han Pan, Krzysztof Chris Ciesielski

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.012

zbMATH Keywords

continuous nowhere differentiabledifferentiable monsterdifferentiable nowhere monotoneJarník's extension theorempointwise shrinking globally stable mapWeierstrass's monster

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (3)

Typical bad differentiable extensions ⋮ Differentiability versus continuity: Restriction and extension theorems and monstrous examples ⋮ Nowhere-monotone differentiable functions and bounded variation

Cites Work

• An auto-homeomorphism of a Cantor set with derivative zero everywhere
• Some new simple proofs of old difficult theorems
• Edrei's conjecture revisited
• Differentiable extension theorem: a lost proof of V. Jarník
• Introduction to Smooth Manifolds
• Continuous Nowhere Differentiable Functions
• Shorter Notes: On Nowhere Monotone Functions
• Monsters in Calculus
• Baire 1 functions, approximately continuous functions and derivatives
• Everywhere Differentiable, Nowhere Monotone, Functions
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