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Equicontinuous local dendrite maps

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Equicontinuous local dendrite maps

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dc.contributor.author Salem, Aymen Haj es_ES
dc.contributor.author Hattab, Hawete es_ES
dc.contributor.author Rejeiba, Tarek es_ES
dc.date.accessioned 2021-04-16T07:18:11Z
dc.date.available 2021-04-16T07:18:11Z
dc.date.issued 2021-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/165240
dc.description.abstract [EN] Let X be a local dendrite, and f : X → X be a map. Denote by E(X) the set of endpoints of X. We show that if E(X) is countable, then the following are equivalent:(1) f is equicontinuous;(2)  fn (X) = R(f);(3) f|  fn (X) is equicontinuous;(4) f| fn (X) is a pointwise periodic homeomorphism or is topologically conjugate to an irrational rotation of S 1 ;(5) ω(x, f) = Ω(x, f) for all x ∈ X.This result generalizes [17, Theorem 5.2], [24, Theorem 2] and [11, Theorem 2.8]. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Dendrite es_ES
dc.subject Equicontinuity es_ES
dc.subject Local dendrite es_ES
dc.subject Recurrent point es_ES
dc.title Equicontinuous local dendrite maps es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.13446
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Salem, AH.; Hattab, H.; Rejeiba, T. (2021). Equicontinuous local dendrite maps. Applied General Topology. 22(1):67-77. https://doi.org/10.4995/agt.2021.13446 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.13446 es_ES
dc.description.upvformatpinicio 67 es_ES
dc.description.upvformatpfin 77 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\13446 es_ES
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