arXiv:2105.00566 Abstract | arXiv Analytics

arXiv:2105.00566 [math.DS]Abstract References Reviews Resources

Morphisms of Groupoid Actions and Recurrence

Published 2021-05-02Version 1

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.

Comments: 25 pages

Categories: math.DS

Subjects: 22A22, 37B20, 37B05, 58H05

Keywords: recurrence, groupoid action morphisms, continuous groupoid actions, topological groupoids admit, periodic points

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