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dc.creatorPilarczyk, Pawel
dc.creatorReal Jurado, Pedro
dc.date.accessioned2016-03-17T10:50:09Z
dc.date.available2016-03-17T10:50:09Z
dc.date.issued2015
dc.identifier.citationPilarczyk, P. y Real Jurado, P. (2015). Computation of cubical homology, cohomology, and (co)homological operations via chain contraction. Advances in Computational Mathematics, 41, 253-275.es
dc.identifier.urihttp://hdl.handle.net/11441/38719
dc.description.abstractWe introduce algorithms for the computation of homology, cohomology, and related operations on cubical cell complexes, using the technique based on a chain contraction from the original chain complex to a reduced one that represents its homology. This work is based on previous results for simplicial complexes, and uses Serre’s diagonalization for cubical cells. An implementation in C++ of the introduced algorithms is available at http://​www.​pawelpilarczyk.​com/​chaincon/​ together with some examples. The paper is self-contained as much as possible, and is written at a very elementary level, so that basic knowledge of algebraic topology should be sufficient to follow it.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.relation.ispartofAdvances in Computational Mathematics, 41 (1), 253-275.es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectAlgorithmes
dc.subjectSoftwarees
dc.subjectHomologyes
dc.subjectCohomologyes
dc.subjectComputational homologyes
dc.subjectCup productes
dc.subjectAlexander-Whitney coproductes
dc.subjectChain homotopyes
dc.subjectChain contractiones
dc.subjectCubical complexes
dc.titleComputation of cubical homology, cohomology, and (co)homological operations via chain contractiones
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)es
dc.identifier.doihttp://dx.doi.org/10.1007/s10444-014-9356-1es
dc.journaltitleAdvances in Computational Mathematicses
dc.publication.volumen41es
dc.publication.initialPage253es
dc.publication.endPage275es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/38719

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