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Morphisms of Groupoid Actions and Recurrence

2021/05/02 by F. Flores, Flores, F., M. Mantoiu +1
Mathematics · #37B20 #58H05 #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Primary 22A22 #Secondary 37B05

paper · pdf · doi:10.48550/arxiv.2105.00566

openalex publication_date 2021/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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