Symmetric interval identification systems of order three
classification
🧮 math.DS
math.GT
keywords
identificationintervalsymmetricordersystemthreeinductionrauzy
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In the present paper we study interval identification systems of order three. We prove that the Rauzy induction preserves symmetry: for any symmetric interval identification system of order three after finitely many iterations of the Rauzy induction we always obtain a symmetric system. We also provide an example of symmetric interval identification system of thin type.
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