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Computational approximations of compact metric spaces

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dc.contributor.authorChocano Feito, Pedro José
dc.contributor.authorAlonso Morón, Manuel
dc.contributor.authorRomero Ruiz Del Portal, Francisco
dc.date.accessioned2023-06-22T11:03:23Z
dc.date.available2023-06-22T11:03:23Z
dc.date.issued2022-02-12
dc.description.abstractGiven a compact metric space X, we associate to it an inverse sequence of finite T0 topological spaces. The inverse limit of this inverse sequence contains a homeomorphic copy of X that is a strong deformation retract. We provide a method to approximate the homology groups of X and other algebraic invariants. Finally, we study computational aspects and the implementation of this method.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedFALSE
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (España)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/74752
dc.identifier.citationChocano Feito, P. J., Alonso Morón, M., Romero Ruiz Del Portal, F. «Computational Approximations of Compact Metric Spaces». Physica D: Nonlinear Phenomena, vol. 433, mayo de 2022, p. 133168. DOI.org (Crossref), https://doi.org/10.1016/j.physd.2022.133168.
dc.identifier.doi10.1016/j.physd.2022.133168
dc.identifier.issn0167-2789
dc.identifier.officialurlhttps://doi.org/10.1016/j.physd.2022.133168
dc.identifier.urihttps://hdl.handle.net/20.500.14352/72054
dc.journal.titlePhysica D: nonlinear phenomena
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDPGC2018-098321-B-100 and BES-2016-076669
dc.rights.accessRightsopen access
dc.subject.cdu512
dc.subject.cdu515.1
dc.subject.keywordFinite topological spaces
dc.subject.keywordCompact metric spaces
dc.subject.keywordApproximation
dc.subject.keywordHomotopy
dc.subject.keywordHomology groups
dc.subject.ucmÁlgebra
dc.subject.ucmTopología
dc.subject.unesco1201 Álgebra
dc.subject.unesco1210 Topología
dc.titleComputational approximations of compact metric spacesen
dc.typejournal article
dc.volume.number433
dspace.entity.typePublication
relation.isAuthorOfPublicatione4503677-6189-4b18-be22-23d31611f2a4
relation.isAuthorOfPublication95bd8189-3086-4e0f-94f6-06dee8c8f675
relation.isAuthorOfPublication5c796e83-3a3a-466d-821f-de3280112781
relation.isAuthorOfPublication.latestForDiscoverye4503677-6189-4b18-be22-23d31611f2a4

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