Corrigendum to the paper 'Some notes on the classification of shift spaces: Shifts of Finite Type; Sofic Shifts; and Finitely Defined Shifts' [Bulletin of the Brazilian Mathematical Society, New Series (2022), 53, 981-1031]

TL;DR

This corrigendum corrects a key lemma in a previous paper on the classification of shift spaces, ensuring the accuracy of subsequent results related to shifts of finite type, sofic shifts, and finitely defined shifts.

Contribution

The paper provides a necessary correction to Lemma 5.3 in the original work, clarifying the classification of shift spaces.

Findings

Corrected Lemma 5.3 and related proofs

Ensured accuracy of classification results

Maintained integrity of shift space taxonomy

Abstract

This paper is a corrigendum to the article 'Some notes on the classification of shift spaces: Shifts of Finite Type; Sofic Shifts; and Finitely Defined Shifts'. In this article we correct Lemma 5.3. Therefore, we follow correcting statements and proofs of subsequent results that depend on Lemma 5.3.