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dc.contributor.authorGuidolin, A.
dc.contributor.authorDivasón, J.
dc.contributor.authorRomero, A. 
dc.contributor.authorVaccarino, F.
dc.date.accessioned2019-12-01T15:49:50Z
dc.date.available2019-12-01T15:49:50Z
dc.date.issued2019-07-08
dc.identifier.isbn978-1-4503-6084-5
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1046
dc.description.abstractIn their original setting, both spectral sequences and persistent homology are algebraic topology tools defined from filtrations of objects (e.g. topological spaces or simplicial complexes) indexed over the set Z of integer numbers. Recently, generalizations of both concepts have been proposed which originate from a different choice of the set of indices of the filtration, producing the new notions of multipersistence and spectral system. In this paper, we show that these notions are related, generalizing results valid in the case of filtrations over Z. By using this relation and some previous programs for computing spectral systems, we have developed a new module for the Kenzo system computing multipersistence. We also present a new invariant providing information on multifiltrations and applications of our algorithms to spaces of infinite type.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectMultipersistenceen_US
dc.subjectSpectral systemen_US
dc.subjectSpectral sequenceen_US
dc.titleComputing Multipersistence by Means of Spectral Systemsen_US
dc.typeinfo:eu-repo/semantics/conferenceObjecten_US
dc.identifier.doi10.1145/3326229.3326253
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleProceedings of the 2019 on International Symposium on Symbolic and Algebraic Computationen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España