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Topological dynamics on hyperspaces

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Topological dynamics on hyperspaces

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dc.contributor.author Sharma, Puneet es_ES
dc.contributor.author Nagar, Anima es_ES
dc.date.accessioned 2017-09-08T11:34:13Z
dc.date.available 2017-09-08T11:34:13Z
dc.date.issued 2010-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/86822
dc.description.abstract [EN] In this paper we wish to relate the dynamics of the base map to the dynamics of the induced map. In the process, we obtain conditions on the endowed hyperspace topology under which the chaotic behaviour of the map on the base space is inherited by the induced map on the hyperspace. Several of the known results come up as corollaries to our results. We also discuss some metric related dynamical properties on the hyperspace that cannot be deduced for the base dynamics. es_ES
dc.description.sponsorship The first author thanks CSIR and the second author thanks DST for financial support.
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Hyperspace es_ES
dc.subject Hit and miss topology es_ES
dc.subject Hit and far-miss topology es_ES
dc.subject Induced map es_ES
dc.subject Transitivity es_ES
dc.subject Mixing es_ES
dc.subject Horseshoe es_ES
dc.subject Equicontinuity es_ES
dc.subject Scrambled set es_ES
dc.title Topological dynamics on hyperspaces es_ES
dc.type Artículo es_ES
dc.date.updated 2017-09-08T11:30:23Z
dc.identifier.doi 10.4995/agt.2010.1724
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Sharma, P.; Nagar, A. (2010). Topological dynamics on hyperspaces. Applied General Topology. 11(1):1-19. https://doi.org/10.4995/agt.2010.1724 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2010.1724 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 19 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 11
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.contributor.funder Department of Science and Technology, Ministry of Science and Technology, India
dc.contributor.funder Council of Scientific and Industrial Research, India


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