On the (n,m)-fold hyperspace suspension of a continuum

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dc.audiencegeneralPublic
dc.contributorMacías Romero, Fernando
dc.contributorHerrera Carrasco, David
dc.contributor.advisorMACIAS ROMERO, FERNANDO; 30787
dc.contributor.advisorHERRERA CARRASCO, DAVID; 96225
dc.contributor.authorHernández Valdez, Gerardo
dc.date.accessioned2023-10-31T15:11:46Z
dc.date.available2023-10-31T15:11:46Z
dc.date.issued2023-07-03
dc.description.abstract"Throughout the years, the study of hyperspaces has acquired a notorious importance within the theory of continua. Recall that a continuum X is a nonempty connected, compact and metric space, and a hyperspace of a continuum is family of closed subsets of X sharing certain properties. Introduced the hyperspace suspension of a continuum X as the quotient space C1(X)/F1(X), denoted by HS(X). Later, introduced the n-fold hyperspace suspension of a continuum X, for each n 2 N and n2 as the quotient space Cn(X)/Fn(X), denoted by HSn(X), where there are described some general properties about this hyperspace. As usual, once there is a new hyperspace around, the natural question about the uniqueness arises. We say that a continuum X has unique hyperspace K(X) if for any continuum Y such that K(X) is homeomorphic to K(Y), then X is homeomorphic to Y. More information about the uniqueness of hyperspaces HSn(X) for some families of continua can. Afterwards, introduced, for n, m 2 N with m=n, the (n,m)-fold hyperspace suspension of a continuum X, denoted by HSn m(X), and defined as the quotient space Cn(X)/Fm(X) obtained from Cn(X) by shrinking Fm(X) to a one-point set with the quotient topology".
dc.folio20230609155551-7842-T
dc.formatpdf
dc.identificator1
dc.identifier.urihttps://hdl.handle.net/20.500.12371/19357
dc.language.isoeng
dc.matricula.creator219570563
dc.publisherBenemérita Universidad Autónoma de Puebla
dc.rights.accesopenAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.subject.lccTopología
dc.subject.lccEspacios métricos
dc.subject.lccContinuo (Matemáticas)
dc.subject.lccHiperespacio
dc.subject.lccTeoría del punto fijo
dc.subject.lccFunciones de conjuntos
dc.thesis.careerDoctorado en Ciencias (Matemáticas)
dc.thesis.degreedisciplineÁrea de Ingeniería y Ciencias Exactas
dc.thesis.degreegrantorFacultad de Ciencias Físico Matemáticas
dc.thesis.degreetoobtainDoctor (a) en Ciencias (Matemáticas)
dc.titleOn the (n,m)-fold hyperspace suspension of a continuum
dc.typeTesis de doctorado
dc.type.conacytdoctoralThesis
dc.type.degreeDoctorado
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