Knot points of typical continuous functions

DOI10.1090/S0002-9947-2013-06100-4zbMath1292.26014arXiv1204.2887OpenAlexW1983171258MaRDI QIDQ5402111

Shingo Saito, David Preiss

Publication date: 5 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2887

zbMATH Keywords

Banach-Mazur gameresidualtypical continuous functionDini derivatestopological zero-one law

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Classification of real functions; Baire classification of sets and functions (26A21)

Cites Work

• Unnamed Item
• Unnamed Item
• On Dini and approximate Dini derivates of typical continuous functions
• Sur les fonctions non dérivables
• Über die Baire'sche Kategorie gewisser Funktionenmengen
• Über die Differenzierbarkeit stetiger Funktionen
• Residuality of families of \({\mathcal F}_\sigma\) sets
• Differentiability properties of typical continuous functions

This page was built for publication: Knot points of typical continuous functions