Topology of pre-images under Anosov endomorphisms

Autor: Azimi, Mohammad saeed, Tajbakhsh, Khosro
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: For an endomorphism it is known that if all the points in the manifold have dense sets of pre-images then the dynamical system is transitive. The inverse has been shown for a residual set of points but the the exact inverse has not yet been investigated before. Here we are going to show that under some conditions it is true for Anosov endomorphisms on closed manifolds, by using the fact that Anosov endomorphisms are covering maps.
Databáze: arXiv