J. J. SÁNCHEZ-GABITES

most citedDynamics and eigenvalues in dimension zero

2 citations · 2 across the 2 of their papers we have counts for

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math.DS2024

Universal bounds on the entropy of toroidal attractors

P. Montealegre Macías, J. J. Sánchez-Gabites

A toroidal set is a compactum $K \subseteq R^{3}$ which has a neighbourhood basis of solid tori. We study the topological entropy of toroidal attractors $K$ , bounding it fro…

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…