Dynamically defined Cantor sets under the conditions of McDuff's conjecture

Jorge Iglesias, and Aldo Portela. "Dynamically defined Cantor sets under the conditions of McDuff's conjecture." Colloquium Mathematicae 120.2 (2010): 311-317. <http://eudml.org/doc/283886>.

@article{JorgeIglesias2010,
abstract = {We prove that if the Cantor set K, dynamically defined by a function $S ∈ C^\{1+α\}$, satisfies the conditions of McDuff’s conjecture then it cannot be C¹-minimal.},
author = {Jorge Iglesias, Aldo Portela},
journal = {Colloquium Mathematicae},
keywords = {circle diffeomorphism; Cantor sets; -minimal sets; McDuff's conjecture},
language = {eng},
number = {2},
pages = {311-317},
title = {Dynamically defined Cantor sets under the conditions of McDuff's conjecture},
url = {http://eudml.org/doc/283886},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Jorge Iglesias
AU - Aldo Portela
TI - Dynamically defined Cantor sets under the conditions of McDuff's conjecture
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 2
SP - 311
EP - 317
AB - We prove that if the Cantor set K, dynamically defined by a function $S ∈ C^{1+α}$, satisfies the conditions of McDuff’s conjecture then it cannot be C¹-minimal.
LA - eng
KW - circle diffeomorphism; Cantor sets; -minimal sets; McDuff's conjecture
UR - http://eudml.org/doc/283886
ER -