Ω-stability for maps with nonwandering critical points

J. Delgado, et al. "Ω-stability for maps with nonwandering critical points." Fundamenta Mathematicae 193.1 (2007): 23-35. <http://eudml.org/doc/283077>.

@article{J2007,
abstract = {Sufficient conditions for a map having nonwandering critical points to be Ω-stable are introduced. It is not known if these conditions are necessary, but they are easily verified for all known examples of Ω-stable maps. Their necessity is shown in dimension two. Examples are given of Axiom A maps that have no cycles but are not Ω-stable.},
author = {J. Delgado, N. Romero, A. Rovella, F. Vilamajó},
journal = {Fundamenta Mathematicae},
keywords = {-stable; hyperbolic set; Axiom A; no cycles condition},
language = {eng},
number = {1},
pages = {23-35},
title = {Ω-stability for maps with nonwandering critical points},
url = {http://eudml.org/doc/283077},
volume = {193},
year = {2007},
}

TY - JOUR
AU - J. Delgado
AU - N. Romero
AU - A. Rovella
AU - F. Vilamajó
TI - Ω-stability for maps with nonwandering critical points
JO - Fundamenta Mathematicae
PY - 2007
VL - 193
IS - 1
SP - 23
EP - 35
AB - Sufficient conditions for a map having nonwandering critical points to be Ω-stable are introduced. It is not known if these conditions are necessary, but they are easily verified for all known examples of Ω-stable maps. Their necessity is shown in dimension two. Examples are given of Axiom A maps that have no cycles but are not Ω-stable.
LA - eng
KW - -stable; hyperbolic set; Axiom A; no cycles condition
UR - http://eudml.org/doc/283077
ER -