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Periodic points of solenoidal automorphisms in terms of inverse limits

Authors :
Sharan Gopal
Faiz Imam
Source :
Applied General Topology, Vol 22, Iss 2, Pp 321-330 (2021)
Publication Year :
2021
Publisher :
Universitat Politècnica de València, 2021.

Abstract

In this paper, we describe the periodic points of automorphisms of a one dimensional solenoid, considering it as the inverse limit, lim←k (S 1 , γk) of a sequence (γk) of maps on the circle S 1 . The periodic points are discussed for a class of automorphisms on some higher dimensional solenoids also.

Details

Language :
English
ISSN :
15769402 and 19894147
Volume :
22
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Applied General Topology
Publication Type :
Academic Journal
Accession number :
edsdoj.1d2c56771572487783705f5f9cf584c0
Document Type :
article
Full Text :
https://doi.org/10.4995/agt.2021.14589