Topological Dynamics of Groupoid Actions

Autor:	Flores, Felipe, Mantoiu, Marius
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems Mathematics - Group Theory 22A22 37B20 37B05 58H05
Druh dokumentu:	Working Paper
Popis:	Some basic notions and results in Topological Dynamics are extended to continuous groupoid actions in topological spaces. We focus mainly on recurrence properties. Besides results that are analogous to the classical case of group actions, but which have to be put in the right setting, there are also new phenomena. Mostly for groupoids whose source map is not open (and there are many), some properties which were equivalent for group actions become distinct in this general framework; we illustrate this with various counterexamples. Comment: 36 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.08882 Zobrazit plný text záznamu View this record from Arxiv