Typical Continuous Functions are Virtually Nonmonotone

DOI10.2307/2045384zbMath0564.26002OpenAlexW4255090892MaRDI QIDQ3677951

Miklós Laczkovich, Paul D. Humke

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045384

zbMATH Keywords

monotone functionsabsolutely continuous functionstypical continuous functionsbilaterally strongly porous set

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Monotonic functions, generalizations (26A48)

Related Items (4)

Monotone and convex restrictions of continuous functions ⋮ Porosity, derived numbers and knot points of typical continuous functions ⋮ Continuous Functions with Everywhere Infinite Variation with Respect to Sequences ⋮ On the Periodic Points of a Typical Continuous Function

This page was built for publication: Typical Continuous Functions are Virtually Nonmonotone