{ "id": "2105.00566", "version": "v1", "published": "2021-05-02T22:33:48.000Z", "updated": "2021-05-02T22:33:48.000Z", "title": "Morphisms of Groupoid Actions and Recurrence", "authors": [ "F. Flores", "M. Mantoiu" ], "comment": "25 pages", "categories": [ "math.DS" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2021-05-02T22:33:48.000Z" } ], "analyses": { "subjects": [ "22A22", "37B20", "37B05", "58H05" ], "keywords": [ "recurrence", "groupoid action morphisms", "continuous groupoid actions", "topological groupoids admit", "periodic points" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }