C¹ stable maps: examples without saddles
J. Iglesias, A. Portela, A. Rovella (2010)
Fundamenta Mathematicae
Similarity:
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.