Morphisms of groupoid actions and recurrence

Morphisms of groupoid actions and recurrence

Topological groupoids admit various types of morphisms. We push these notions to the level of continuous groupoid actions to obtain various types of groupoid action morphisms. Some dynamical properties and their relation to these morphisms are studied. Among them are recurrence, various forms of tra...

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Veröffentlicht in:Topology and its applications 2022-06, Vol.314, p.108122, Article 108122
Hauptverfasser: Flores, F., Măntoiu, M.
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical system morphism
Factor
Groupoid action
Minimal
Orbit
Transitive
Wandering
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Beschreibung
Zusammenfassung:Topological groupoids admit various types of morphisms. We push these notions to the level of continuous groupoid actions to obtain various types of groupoid action morphisms. Some dynamical properties and their relation to these morphisms are studied. Among them are recurrence, various forms of transitivity, minimality, limit, recurrent, periodic and almost periodic points.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2022.108122