Geodesic
$C^1$ stable maps: examples without saddles
J. Iglesias1 ; A. Portela1 ; A. Rovella2
1 IMERL Facultad de Ingeniería Universidad de La República Julio Herrera y Reissig 565 C.P. 11300, Montevideo, Uruguay
2 Centro de Matemática Facultad de Ciencias Universidad de La República Iguá 4225 C.P. 11400 Montevideo, Uruguay
Fundamenta Mathematicae, Tome 208 (2010) no. 1, pp. 23-33.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give here the first examples of $C^1$ 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 $C^1$ stable. A necessary condition for the existence of such examples is also given.
DOI : 10.4064/fm208-1-2
Keywords: here first examples structurally stable maps manifolds dimension greater neither diffeomorphisms nor expanding shown axiom endomorphism whose basic pieces expanding attracting stable necessary condition existence examples given

J. Iglesias 1 ; A. Portela 1 ; A. Rovella 2

1 IMERL Facultad de Ingeniería Universidad de La República Julio Herrera y Reissig 565 C.P. 11300, Montevideo, Uruguay
2 Centro de Matemática Facultad de Ciencias Universidad de La República Iguá 4225 C.P. 11400 Montevideo, Uruguay 
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J. Iglesias; A. Portela; A. Rovella. $C^1$ stable maps: examples without saddles. Fundamenta Mathematicae, Tome 208 (2010) no. 1, pp. 23-33. doi : 10.4064/fm208-1-2. http://geodesic.mathdoc.fr/articles/10.4064/fm208-1-2/

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