## Publicacions Matemàtiques

### Topological classification of limit periodic sets of polynomial planar vector fields

#### Abstract

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.

#### Article information

Source
Publ. Mat., Volume 63, Number 1 (2019), 105-123.

Dates