Hyperspace Dynamics of Generic Maps of the Cantor Space
Canadian journal of mathematics, Tome 67 (2015) no. 2, pp. 330-349
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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.
Mots-clés :
37B99, 54H20, 54E52, cantor space, continuous maps, homeomorphisms, hyperspace, dynamics
Jr., Nilson C. Bernardes; Vermersch, Rômulo M. Hyperspace Dynamics of Generic Maps of the Cantor Space. Canadian journal of mathematics, Tome 67 (2015) no. 2, pp. 330-349. doi: 10.4153/CJM-2014-005-5
@article{10_4153_CJM_2014_005_5,
author = {Jr., Nilson C. Bernardes and Vermersch, R\^omulo M.},
title = {Hyperspace {Dynamics} of {Generic} {Maps} of the {Cantor} {Space}},
journal = {Canadian journal of mathematics},
pages = {330--349},
year = {2015},
volume = {67},
number = {2},
doi = {10.4153/CJM-2014-005-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-005-5/}
}
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