Hyperspace Dynamics of Generic Maps of the Cantor Space

Jr., Nilson C. Bernardes ; Vermersch, Rômulo M.

Canadian journal of mathematics, Tome 67 (2015) no. 2, pp. 330-349

Résumé

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.

Détail

DOI : 10.4153/CJM-2014-005-5

Mots-clés : 37B99, 54H20, 54E52, cantor space, continuous maps, homeomorphisms, hyperspace, dynamics

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