1 citations · 1 across the 7 of their papers we have counts for
7 papers
Topology and dynamics of a flow that has a non-saddle set or a -set
Héctor Barge, J. J. Sánchez-Gabites, J. M. R. Sanjurjo
The aim of this paper is to study dynamical and topological properties of a flow in the region of influence of an isolated non-saddle set or a -set in a manifold. These are cert…
A dynamical interpretation of the connection map of an attractor-repeller decomposition
J. J. Sánchez-Gabites
In Conley index theory one may study an invariant set by decomposing it into an attractor , a repeller , and the orbits connecting the two. The Conley indices of , …
Using an invariant knot of a flow to find additional invariant structure
J. J. Sánchez-Gabites
Consider a continuous flow in or any orientable -manifold. Let be an index pair in the sense of Conley and consider the region $N := \overline{Q_1 -…
Universal bounds on the entropy of toroidal attractors
P. Montealegre Macías, J. J. Sánchez-Gabites
A toroidal set is a compactum which has a neighbourhood basis of solid tori. We study the topological entropy of toroidal attractors , bounding it fro…
Integration in Čech theories and a bound on entropy
Luis Hernández-Corbato, David Jesús Nieves-Rivera, Francisco Romero Ruiz del Portal +1
The evaluation of Alexander-Spanier cochains over formal simplices in a topological space leads to a notion of integration of Alexander-Spanier cohomology classes over Čech homolog…
Arcs, balls and spheres that cannot be attractors in
J. J. Sánchez-Gabites
For any compact set we define a number that is either a nonnegative integer or . Intuitively, provides some information on how wild…