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]
arXiv:2505.11656 · doi:10.1007/s00574-025-00470-7
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.
- In Prop. 6.E and Theo. 7.E, the "locally finite-to-one" condition was added to the SBC. Their proofs were adjusted but still rely on the same arguments. - A consequence was added to Prop. 6.E. - The statement of Theo. 7.E was rewritten for clarity. - The discussions in the following Prop. 6.E, as well as in the paragraphs preceding and following Theo. 7.E, were slightly revised