Erratum for "Denjoy Minimal Sets are Far from Affine"

TL;DR

This paper corrects a previous theorem about Denjoy minimal sets by adding a necessary smoothness condition, ensuring the theorem's validity under the specified hypotheses.

Contribution

It provides a correction to an earlier result by including a C^2 bound, clarifying the conditions for the theorem about Denjoy minimal sets.

Findings

The correction specifies the importance of a C^2 bound.

The original theorem's validity depends on the added smoothness condition.

The correction improves the accuracy of the previous theoretical result.

Abstract

Theorem 2 of A. Kercheval, "Denjoy minimal sets are far from affine", Ergodic Theory and Dynamical Systems 22 (2002), 1803-1812 is corrected by adding a C^2 bound to the hypotheses.