Infinite-vertex Free Profinite Semigroupoids and Symbolic Dynamics

نویسندگان

  • JORGE ALMEIDA
  • Jorge Almeida
  • andAlfredo Costa
چکیده

Some fundamental questions about infinite-vertex (free) profinite semigroupoids are clarified, putting in evidence differences with the finitevertex case. This is done with examples of free profinite semigroupoids generated by the graph of a subshift. It is also proved that for minimal subshifts, the infinite edges of such free profinite semigroupoids form a connected compact groupoid.

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تاریخ انتشار 2007