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Hyperspace Dynamics of Generic Maps of the Cantor Space

  • Nilson C. Bernardes Jr.,
    Departamento de Matemática Aplicada, Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, 21945-970, Brasil
  • Rômulo M. Vermersch,
    Departamento de Tecnologias e Linguagens, Instituto Multidisciplinar, Universidade Fede\-ral Rural do Rio de Janeiro, Nova Iguaçu, RJ, 26020-740, Brasil
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Abstract

We study the hyperspace dynamics induced from generic continuous maps and from generic homeomorphisms of the Cantor space, with emphasis on the notions of Li-Yorke chaos, distributional chaos, topological entropy, chain continuity, shadowing and recurrence.
Keywords: cantor space, continuous maps, homeomorphisms, hyperspace, dynamics cantor space, continuous maps, homeomorphisms, hyperspace, dynamics
MSC Classifications: 37B99, 54H20, 54E52 show english descriptions None of the above, but in this section
Topological dynamics [See also 28Dxx, 37Bxx]
Baire category, Baire spaces
37B99 - None of the above, but in this section
54H20 - Topological dynamics [See also 28Dxx, 37Bxx]
54E52 - Baire category, Baire spaces
 

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