Typical continuous functions are not iterates

DOI10.1007/BF01951395zbMath0709.26001MaRDI QIDQ921130

Károly Simon

Publication date: 1990

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

first category settypical continuous functionsset of continuous functions

Mathematics Subject Classification ID

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

Related Items (5)

The non-iterates are dense in the space of continuous self-maps ⋮ Iterative square roots of functions ⋮ A note on iterated maps of the unit sphere ⋮ Iteration Theory: Dynamical Systems and Functional Equations ⋮ Some Dual Statements Concerning Wiener Measure and Baire Category

Cites Work

• A historical note on the measurability properties of symmetrically continuous and symmetrically differentiable functions
• Differentiation of real functions

This page was built for publication: Typical continuous functions are not iterates