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On homeomorphisms with the two-sided limit shadowing property

On homeomorphisms with the two-sided limit shadowing ...

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dc.contributor.author Carvalho, Bernardo pl
dc.contributor.author Kwietniak, Dominik [SAP11019147] pl
dc.date.accessioned 2015-03-05T12:38:36Z
dc.date.available 2015-03-05T12:38:36Z
dc.date.issued 2014 pl
dc.identifier.issn 0022-247X pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/3569
dc.language eng pl
dc.title On homeomorphisms with the two-sided limit shadowing property pl
dc.type JournalArticle pl
dc.description.physical 801-813 pl
dc.abstract.en We prove that the two-sided limit shadowing property is among the strongest known notions of pseudo-orbit tracing. It implies shadowing, average shadowing, asymptotic average shadowing and specification properties. We also introduce a weaker notion that is called two-sided limit shadowing with a gap and prove that it implies shadowing and transitivity. We show that those two properties allow to characterize topological transitivity and mixing in a class of expansive homeomorphisms and hence they characterize transitive (mixing) shifts of finite type. pl
dc.description.volume 420 pl
dc.description.number 1 pl
dc.identifier.doi 10.1016/j.jmaa.2014.06.011 pl
dc.identifier.eissn 1096-0813 pl
dc.title.journal Journal of Mathematical Analysis and Applications pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Instytut Matematyki pl
dc.subtype Article pl
dc.rights.original bez licencji pl
.pointsMNiSW [2014 A]: 35


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