Dynamically defined Cantor sets under the conditions of McDuff's conjecture
Tom 120 / 2010
Colloquium Mathematicum 120 (2010), 311-317
MSC: 37E10, 37C05.
DOI: 10.4064/cm120-2-10
Streszczenie
We prove that if the Cantor set $K$, dynamically defined by a function $S\in C^{1+\alpha }$, satisfies the conditions of McDuff's conjecture then it cannot be $C^{1}$-minimal.