Periodic points of solenoidal automorphisms in terms of inverse limits

• Gopal, Sharan ^[1] ; Imam, Faiz ^[1]
  1. [1] Birla Institute of Technology and Science

     Birla Institute of Technology and Science

     India

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 22, Nº. 2, 2021, págs. 321-330
• Idioma: inglés
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• Resumen

  • In this paper, we describe the periodic points of automorphisms of a one dimensional solenoid, considering it as the inverse limit, lim←k (S 1 , γk) of a sequence (γk) of maps on the circle S 1 . The periodic points are discussed for a class of automorphisms on some higher dimensional solenoids also.