Profinite Semigroups and Symbolic Dynamics / by Jorge Almeida, Alfredo Costa, Revekka Kyriakoglou, Dominique Perrin

By:

Almeida, Jorge Filipe de, 1953- [VerfasserIn]

Contributor(s):

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook Collection | Lecture notes in mathematics ; 2274Publisher: Cham : Springer International Publishing, 2020Publisher: Cham : Imprint: Springer, 2020Edition: 1st ed. 2020Description: 1 Online-Ressource(IX, 278 p. 67 illus., 4 illus. in color.)ISBN:

9783030552152

Subject(s):

Additional physical formats: 9783030552145 | 9783030552169 | Erscheint auch als: 9783030552169 Druck-Ausgabe | Erscheint auch als: Profinite semigroups and symbolic dynamics. Druck-Ausgabe Cham : Springer, 2020. ix, 276 SeitenRVK: RVK: SK 340DOI: DOI: 10.1007/978-3-030-55215-2Online resources:

Summary: This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.PPN: PPN: 173462745XPackage identifier: Produktsigel: ZDB-2-LNM | ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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