Artículos de revistas
Topological properties of prolongations and stable sets for semigroup actions
Fecha
2021-03-15Registro en:
Topology And Its Applications. Amsterdam: Elsevier, v. 291, 22 p., 2021.
0166-8641
10.1016/j.topol.2021.107611
WOS:000623100400006
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
In this paper we study topological properties of Lyapunov stable sets for semigroup actions on Tychonoff spaces. We show that the stability and the asymptotical stability of a compact set is characterized by the stability and the asymptotical stability of its components, respectively. We also present a characterization of the stability of a compact set by means of omega-limit sets, prolongations, prolongational limit sets and the existence of a fundamental system of invariant neighborhoods of it. (c) 2021 Elsevier B.V. All rights reserved.