Dynamics of induced mappings on symmetric products, some answers

• Illanes, Alejandro ^[1] ; Martínez-de-la-Vega, Verónica ^[1]
  1. [1] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 2, 2022, págs. 235-242
• Idioma: inglés
• DOI: 10.4995/agt.2022.17492
• Enlaces
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• Resumen

  • Let X be a metric continuum and n a positive integer. Let Fn (X) be the hyperspace of nonempty subsets of X with at most n points. If 0 < m < n, we consider the quotient space Fnm (X) = Fn (X)/Fm (X). Given a mapping f  from X into X, we consider the induced mappings fn from Fn (X) into Fn (X) and fnm  from Fnm (X) into Fnm (X). In this paper we study the relations among the dynamics of the mappings f, fn, and fnm  and we answer some questions, by F. Barragán, A. Santiago-Santos and J. Tenorio, related to the properties: minimality, irreducibility, strong transitive and turbulence.

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