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Shift spaces, Languages and Transfinite Induction
- Publication Year :
- 2023
-
Abstract
- This paper deals with an extension of the classical concept of shift space, which corresponds to any shift-invariant closed subset of the Cartesian product of a particular finite set (alphabet) endowed with the prodiscrete topology. In such an extended framework the notion of language is introduced and a characterization is shown. In order to do this, transfinite induction is required because the cardinality of the index set of the product may not be countable.
- Subjects :
- Mathematics - Dynamical Systems
37B10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2308.10352
- Document Type :
- Working Paper