Profinite Semigroups and Symbolic Dynamics - 
      Jorge Almeida
    
      Alfredo Costa
    
      Revekka Kyriakoglou
    
      Dominique Perrin

Profinite Semigroups and Symbolic Dynamics

; Alfredo Costa ; Revekka Kyriakoglou ; Dominique Perrin

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. Les mer
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Vår pris: 759,-

(Paperback) Fri frakt!
Leveringstid: Usikker levering*
*Vi bestiller varen fra forlag i utlandet. Dersom varen finnes, sender vi den så snart vi får den til lager

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.
FAKTA
Utgitt:
Forlag: Springer Nature Switzerland AG
Innbinding: Paperback
Språk: Engelsk
Sider: 278
ISBN: 9783030552145
Format: 24 x 16 cm
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VURDERING
Gi vurdering
Les vurderinger
- Introduction. - Prelude: Profinite Integers. - Profinite Groups and Semigroups. - Free Profinite Monoids, Semigroups and Groups. - Shift Spaces. - Sturmian Sets and Tree Sets. - The Schutzenberger Group of a Minimal Set. - Groups of Bifix Codes.