Sánchez Gabites, Jaime Jorge2026-02-252026-02-25201610.1090/tran/6570https://hdl.handle.net/20.500.14352/133268For any compact set K ⊆ R3 we define a number r(K) that is either a nonnegative integer or ∞. Intuitively, r(K) provides some information on how wildly K sits in R3. We show that attractors for discrete or continuous dynamical systems have finite r and then prove that certain arcs, balls and spheres cannot be attractors by showing that their r is infinite.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articlehttps://doi.org/10.1090/tran/6570open accessTopología1210.13 Dinámica Topológica