C¹ stable maps: examples without saddles
J. Iglesias; A. Portela; A. Rovella
Fundamenta Mathematicae (2010)
- Volume: 208, Issue: 1, page 23-33
- ISSN: 0016-2736
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topJ. Iglesias, A. Portela, and A. Rovella. "C¹ stable maps: examples without saddles." Fundamenta Mathematicae 208.1 (2010): 23-33. <http://eudml.org/doc/283179>.
@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 -
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