C¹ stable maps: examples without saddles

@article{J2010,
abstract = {We give here the first examples of C¹ structurally stable maps on manifolds of dimension greater than two that are neither diffeomorphisms nor expanding. It is shown that an Axiom A endomorphism all of whose basic pieces are expanding or attracting is C¹ stable. A necessary condition for the existence of such examples is also given.},
author = {J. Iglesias, A. Portela, A. Rovella},
journal = {Fundamenta Mathematicae},
keywords = { structurally stable maps; endomorphisms; stability; Axiom A maps},
language = {eng},
number = {1},
pages = {23-33},
title = {C¹ stable maps: examples without saddles},
url = {http://eudml.org/doc/283179},
volume = {208},
year = {2010},
}

TY - JOUR
AU - J. Iglesias
AU - A. Portela
AU - A. Rovella
TI - C¹ stable maps: examples without saddles
JO - Fundamenta Mathematicae
PY - 2010
VL - 208
IS - 1
SP - 23
EP - 33
AB - We give here the first examples of C¹ structurally stable maps on manifolds of dimension greater than two that are neither diffeomorphisms nor expanding. It is shown that an Axiom A endomorphism all of whose basic pieces are expanding or attracting is C¹ stable. A necessary condition for the existence of such examples is also given.
LA - eng
KW - structurally stable maps; endomorphisms; stability; Axiom A maps
UR - http://eudml.org/doc/283179
ER -