Morphisms of groupoid actions and recurrence

被引：1
|
作者：
Flores, F. [1 ]
Mantoiu, M. [2 ]
机构：
[1] Univ Chile, Dept Ingn Matemat, Beauchef 851,Oficina 436, Santiago, Chile
[2] Univ Chile, Fac Ciencias, Dept Matemat, Las Palmeras 3425,Casilla 653, Santiago, Chile
来源：
TOPOLOGY AND ITS APPLICATIONS | 2022年 / 314卷
关键词：
Groupoid action; Dynamical system morphism; Orbit; Minimal; Transitive; Wandering; Factor; CLASSICAL PSEUDOGROUPS; QUANTUM;
D O I：
10.1016/j.topol.2022.108122
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2022 Elsevier B.V. All rights reserved.
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页数：27
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