Luis Hernández-Corbato

most citedFixed point indices of planar continuous maps

9 citations · 16 across the 4 of their papers we have counts for

collaborators

7 papers

math.DS2018★ 2 cited

Dynamics and eigenvalues in dimension zero

Luis Hernández-Corbato, David Jesús Nieves-Rivera, Francisco R. Ruiz Del Portal +1

Let $X$ be a compact, metric and totally disconnected space and let $f : X \to X$ be a continuos map. We relate the eigenvalues of $f_{*}:\check{H}_{0}(X;\mathbb{C})\to\check{H}_{0}(X…

math.DS2018

Infinite series in cohomology: attractors and Conley index

Luis Hernández-Corbato, Francisco R. Ruiz del Portal, Jaime J. Sánchez-Gabites

In this paper we study the cohomological Conley index of arbitrary isolated invariant continua for continuous maps $f : U \subseteq R^{d} \to R^{d}$ by analyzing…

math.DS2016★ 4 cited

Accessible points rotate as prime ends in backward or forward time

Luis Hernández-Corbato

Let $X$ be a closed invariant subset of the half--open annulus $A$ such that $A ∖ X$ is homeomorphic to $A$ . We prove that either the rotation nu…

math.DS2016

An elementary proof of a Theorem by Matsumoto

Luis Hernandez-Corbato

Matsumoto proved in arXiv:1012.0981 that the prime end rotation numbers associated to an invariant annular continuum are contained in its rotation set. An alternative proof of this…

math.DS2016★ 1 cited

Uniqueness of dynamical zeta functions and symmetric products

Eduardo Blanco Gomez, Luis Hernandez-Corbato, Francisco R. Ruiz del Portal

A characterization of dynamically defined zeta functions is presented. It comprises a list of axioms, natural extension of the one which characterizes topological degree, and a uni…

math.DS2016

Indices of fixed points not accumulated by periodic points

Luis Hernandez-Corbato

We prove that for every integer sequence $I$ satisfying Dold relations there exists a map $f : R^{d} \to R^{d}$ , $d \geq 2$ , such that $\mathrm{Per(f)} = \mathrm{Fix(f…

math.DS2016★ 9 cited

Fixed point indices of planar continuous maps

Luis Hernandez-Corbato, Francisco R. Ruiz del Portal

We characterize the sequences of fixed point indices ${i (f^{n}, p)}_{n \geq 1}$ of fixed points that are isolated as an invariant set and continuous maps in the plane. In particular,…