dc.contributor.author | Mendez, H | |
dc.date.accessioned | 2011-01-21T10:35:24Z | |
dc.date.available | 2011-01-21T10:35:24Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 0146-4124 | |
dc.identifier.uri | http://hdlhandlenet/123456789/214 | |
dc.description.abstract | Let X be a continuum and 2(X) be the hyperspace of all nonempty closed subsets of X endowed with the Hausdorff metric. It is known that for each continuous map f : X -> X the density of periodic points of the induced map 2(f) : 2(X) -> 2(X) implies the density of periodic points of the base map f provided that X is a graph. In this note we describe a continuum X and a continuous map f : X -> X where the density of periodic points of the induced map 2f does not imply the density of periodic points of the base map f. Also we study a condition of f equivalent to the density of periodic points of 2(f) | en_US |
dc.language.iso | en | en_US |
dc.title | ON DENSITY OF PERIODIC POINTS FOR INDUCED HYPERSPACE MAPS | en_US |
dc.type | Article | en_US |
dc.identifier.idprometeo | 142 | |
dc.source.novolpages | 35:281-290 | |
dc.subject.wos | Mathematics | |
dc.description.index | WoS: SCI, SSCI o AHCI | |
dc.subject.keywords | Continua | |
dc.subject.keywords | induced maps | |
dc.subject.keywords | periodic points | |
dc.subject.keywords | dynamics | |
dc.relation.journal | Topology Proceedings, Vol 35 |
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