On the set of points at which an increasing continuous singular function has a nonzero finite derivative

DOI10.14321/REALANALEXCH.47.2.1638769133arXiv2111.14519OpenAlexW4319979891MaRDI QIDQ6100478

Marta Kossaczká, Luděk Zajíček

Publication date: 12 May 2023

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

Full work available at URL: https://arxiv.org/abs/2111.14519

zbMATH Keywords

\(F_\sigma\) null setincreasing singular functionnonzero finite derivative

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30)

Cites Work

• Unnamed Item
• Unnamed Item
• A singular function with a non-zero finite derivative
• A singular function with a non-zero finite derivative on a dense set with Hausdorff dimension one
• On supports of regular Borel measures
• A singular function with a non-zero finite derivative on a dense set

This page was built for publication: On the set of points at which an increasing continuous singular function has a nonzero finite derivative