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
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1
Universidad de La Laguna
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2
Universidad de La Rioja
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ISSN: 0017-095X
Year of publication: 2017
Volume: 52
Issue: 2
Pages: 295-329
Type: Article
More publications in: Glasnik Matematicki
Abstract
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.