# 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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