Resumen de Topological classification of limit periodic sets of polynomial planar vector fields

Andre Belotto da Silva, José Ginés Espín Buendía

• We characterize the limit periodic sets of families of algebraic planar vector fields up to homeomorphisms. We show that any limit periodic set is topologically equivalent to a compact and connected semialgebraic set of the sphere of dimension 0 or 1. Conversely, we show that any compact and connected semialgebraic set of the sphere of dimension 0 or 1 can be realized as a limit periodic set.