Topological conjugacy on the complement of the periodic points

Autor:	Stephen M. Shea
Rok vydání:	2012
Předmět:	Discrete mathematics Pure mathematics General Mathematics Harmonic conjugate Sofic Type (model theory) Renewal system Conjugacy class Shift of finite type Conjugacy Topological conjugacy Mathematics Complement (set theory) Conjugate
Zdroj:	Indagationes Mathematicae. 23:300-310
ISSN:	0019-3577
DOI:	10.1016/j.indag.2011.12.002
Popis:	We will say that two subshifts are essentially conjugate if they are topologically conjugate on the complement of their periodic points. In 1990, Susan Williams presented an example of a sofic shift that is not topologically conjugate to a renewal system. We show that the example of Williams is essentially conjugate to a renewal system. We also present an example of a renewal system that is essentially conjugate to a shift of finite type but not topologically conjugate to a shift of finite type. Finally, we prove that all renewal systems that meet a certain technical condition are essentially conjugate to a shift of finite type.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e382db91d3fea3470c58f029c2da149 https://doi.org/10.1016/j.indag.2011.12.002 Zobrazit plný text záznamu Full Text from ScienceDirect