Abstract: A number system consists of a continuous value mapping whose domain is a symbolic space of infinite words and whose range is the extended real line. We say that the value mapping isSymbolic extension a symbolic extension of $$\overline{\mathbb {R}}$$ . Symbolic spaces and symbolic extensions are treated in symbolic dynamics which is based on the theory of compact metric spaces (see e.g., Hocking and Young [1]).
Publication Year: 2016
Publication Date: 2016-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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