Omega limits, prolongational limits and almost periodic points of a continuous flow via exterior spaces
- Calcines, J.M.G. 1
- Paricio, L.J.H. 2
- Rodríguez, M.T.R. 2
-
1
Universidad de La Laguna
info
-
2
Universidad de La Rioja
info
ISSN: 0017-095X
Datum der Publikation: 2017
Ausgabe: 52
Nummer: 2
Seiten: 295-329
Art: Artikel
Andere Publikationen in: Glasnik Matematicki
Zusammenfassung
In this paper we analyse some applications of the category of exterior spaces to the study of dynamical systems (flows). The limit space and end space of an exterior space are used to construct different types of limit spaces and end spaces of a dynamical system. In this work we analyse the relationships between the notions and constructions given by the exterior structures of a continuous flow and the more usual notions of omega-limits, first prolongational limits and several types of almost periodic points (Poisson-stable points, non-wandering points) of a flow. © 2017, University of Zagreb. All rights reserved.