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Hyperspace Dynamics of Generic Maps of the Cantor Space

Published online by Cambridge University Press:  20 November 2018

Nilson C. Bernardes Jr.  and
Rômulo M. Vermersch
Nilson C. Bernardes Jr.
Affiliation:
Departamento de Matemática Aplicada, Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, 21945-970, Brasil. e-mail: bernardes@im.ufrj.br
Rômulo M. Vermersch
Affiliation:
Departamento de Tecnologias e Linguagens, Instituto Multidisciplinar, Universidade Federal Rural do Rio de Janeiro, Nova Iguaçu, RJ, 26020-740, Brasil. e-mail: romulo.vermersch@gmail.com
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Abstract

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We study the hyperspace dynamics induced fromgeneric continuous maps and fromgeneric homeomorphisms of the Cantor space, with emphasis on the notions of Li– Yorke chaos, distributional chaos, topological entropy, chain continuity, shadowing, and recurrence.

Keywords

37B9954H2054E52cantor spacecontinuous mapshomeomorphismshyperspacedynamics
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 67 , Issue 2 , April 2015 , pp. 330 - 349
Copyright
Copyright © Canadian Mathematical Society 2015

References

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