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Shadowing property for the free group acting in the circle.

Authors :
Iglesias, Jorge
Portela, Aldo
Source :
Dynamical Systems: An International Journal. Mar2020, Vol. 35 Issue 1, p111-123. 13p. 3 Diagrams.
Publication Year :
2020

Abstract

For the free group F 2 acting in S 1 , we will prove that if the minimal set for the action is not a Cantor set, then the action does not have the shadowing property. We will also construct an example, whose minimal set is a Cantor set, that it has the shadowing property. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*FREE groups
*CANTOR sets
*CIRCLE

Details

Language :
English
ISSN :
14689367
Volume :
35
Issue :
1
Database :
Academic Search Index
Journal :
Dynamical Systems: An International Journal
Publication Type :
Academic Journal
Accession number :
141801726
Full Text :
https://doi.org/10.1080/14689367.2019.1631756