$C^1$ stable maps: examples without saddles
Volume 208 / 2010
Fundamenta Mathematicae 208 (2010), 23-33
MSC: 37C75, 37C20.
DOI: 10.4064/fm208-1-2
Abstract
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.
