J. J. S'anchez-Gabites

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20082023

most citedKnots and solenoids that cannot be attractors of self-homeomorphisms of

R^{3}

4 citations · 12 across the 10 of their papers we have counts for

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math.GT2018★ 4 cited

Knots and solenoids that cannot be attractors of self-homeomorphisms of $R^{3}$

Héctor Barge, J. J. Sánchez-Gabites

As a first step to understand how complicated attractors for dynamical systems can be, one may consider the following realizability problem: given a continuum $K \subseteq \mathbb{…

math.GT2015★ 4 cited

On the shape of attractors of discrete dynamical systems

J. J. Sánchez-Gabites

Let $M$ be a manifold or (more generally) a locally compact, metrizable ANR. If $K$ is an attractor for a flow in $M$ , with basin of attraction $A (K)$ , it is well known t…

Knots and solenoids that cannot be attractors of self-homeomorphisms of R3

On the shape of attractors of discrete dynamical systems

Knots and solenoids that cannot be attractors of self-homeomorphisms of $R^{3}$