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100   $a20200910d2020      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aProfinite Semigroups and Symbolic Dynamics /$fby Jorge Almeida, Alfredo Costa, Revekka Kyriakoglou, Dominique Perrin
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (IX, 278 p. 67 illus., 4 illus. in color.) 
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2274
311 08$a3-030-55214-4 
330   $aThis book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v2274
606   $aGroup theory
606   $aComputer science$xMathematics
606   $aDiscrete mathematics
606   $aDynamical systems
606   $aMachine theory
606   $aGroup Theory and Generalizations
606   $aDiscrete Mathematics in Computer Science
606   $aDynamical Systems
606   $aFormal Languages and Automata Theory
615  0$aGroup theory.
615  0$aComputer science$xMathematics.
615  0$aDiscrete mathematics.
615  0$aDynamical systems.
615  0$aMachine theory.
615 14$aGroup Theory and Generalizations.
615 24$aDiscrete Mathematics in Computer Science.
615 24$aDynamical Systems.
615 24$aFormal Languages and Automata Theory.
676   $a512.2
676   $a512.2
700   $aAlmeida$b Jorge$01005289
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483586003321
996   $aProfinite semigroups and symbolic dynamics$92311010
997   $aUNINA