Class-closing factor codes and constant-class-to-one factor codes from shifts of finite type
Dynamical Systems
2015-01-30 v2
Abstract
We define class-closing factor codes from shifts of finite type and show that they are continuing if their images are of finite type. We establish several relations between class-closing factor codes, continuing factor codes and constant-class-to-one factor codes. In particular it is shown that a factor code between irreducible shifts of finite type is constant-class-to-one if and only if it is bi-class-closing, generalizing a result of Nasu.
Keywords
Cite
@article{arxiv.1501.02384,
title = {Class-closing factor codes and constant-class-to-one factor codes from shifts of finite type},
author = {Mahsa Allahbakhshi and Soonjo Hong and Uijin Jung},
journal= {arXiv preprint arXiv:1501.02384},
year = {2015}
}
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