On Vietoris-Rips Complexes of the 2-Sphere

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dc.contributor.advisorKöhl, Ralf
dc.contributor.advisorWitzel, Stefan
dc.contributor.authorSaleh, Nada
dc.date.accessioned2023-11-07T13:15:12Z
dc.date.available2023-11-07T13:15:12Z
dc.date.issued2023-09
dc.description.abstractWe provide statistical evidence of the homotopy types of Vietoris-Rips complexes for circles. We determine the homotopy type of the Vietoris-Rips complexes of the vertex sets of the platonic solids, with a focus on the dodecahedron. We also offer homology computations of some higher-dimensional polytopes, especially hypercubes and 4-dimensional polytopes.de_DE
dc.identifier.urihttps://jlupub.ub.uni-giessen.de//handle/jlupub/18586
dc.identifier.urihttp://dx.doi.org/10.22029/jlupub-17950
dc.language.isoende_DE
dc.rightsCC0 1.0 Universal*
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.subjectVietoris-Rips Complexesde_DE
dc.subjectVietoris-Rips Complexes of the 2-Spherede_DE
dc.subjectComputational Homologyde_DE
dc.subjectAlgebraic Topologyde_DE
dc.subject.ddcddc:510de_DE
dc.titleOn Vietoris-Rips Complexes of the 2-Spherede_DE
dc.typedoctoralThesisde_DE
dcterms.dateAccepted2023-09-25
local.affiliationFB 07 - Mathematik und Informatik, Physik, Geographiede_DE
local.projectDAAD Research Grant-Doctoral Programmes in germany (57440921)de_DE
thesis.levelthesis.doctoralde_DE

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