1 citations · 3 across the 5 of their papers we have counts for
6 papers
On the growth rate inequality for periodic points in the two sphere
G. Honorato, J. Iglesias, A. Portela +3
Let be a continuous map such that . Suppose has two attracting fixed points denoted and and let . Assume that i…
Dynamics of annulus maps III: completeness
J. Iglesias, A. Portela, A. Rovella +1
Consider a continuous surjective self map of the open annulus with degree d > 1. It is proved that the number of Nielsen classes of periodic points is maximum possible whenever f h…
A classification of minimal sets for surface homeomorphisms
Alejandro Passeggi, Juliana Xavier
We classify minimal sets of (closed and oriented) hyperbolic surface homeomorphisms by studying the connected components of their complement. This extends the classification given…
Surface Attractors
Jorge Iglesias, Aldo Portela, Álvaro Rovella +1
Let be a continuous endomorphism of a surface , and an attracting set such that the restriction is a covering map. We show that if is a local h…
Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk
Juliana Xavier
Michael Handel proved in Handel (1999) the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, pro…
Handel's fixed point theorem revisited
Juliana Xavier
Michael Handel proved in [7] the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that…