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arXiv · 1501.02384

Class-closing factor codes and constant-class-to-one factor codes from shifts of finite type

Mahsa Allahbakhshi·Soonjo Hong·Uijin Jung
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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.

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Mahsa Allahbakhshi, Soonjo Hong, Uijin Jung. 2015-01-29. Class-closing factor codes and constant-class-to-one factor codes from shifts of finite type. https://arxiv.org/abs/1501.02384

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