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Artículo
Computation of cubical homology, cohomology, and (co)homological operations via chain contraction
dc.creator | Pilarczyk, Pawel | |
dc.creator | Real Jurado, Pedro | |
dc.date.accessioned | 2016-03-17T10:50:09Z | |
dc.date.available | 2016-03-17T10:50:09Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Pilarczyk, 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.uri | http://hdl.handle.net/11441/38719 | |
dc.description.abstract | We 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.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Advances in Computational Mathematics, 41 (1), 253-275. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Algorithm | es |
dc.subject | Software | es |
dc.subject | Homology | es |
dc.subject | Cohomology | es |
dc.subject | Computational homology | es |
dc.subject | Cup product | es |
dc.subject | Alexander-Whitney coproduct | es |
dc.subject | Chain homotopy | es |
dc.subject | Chain contraction | es |
dc.subject | Cubical complex | es |
dc.title | Computation of cubical homology, cohomology, and (co)homological operations via chain contraction | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.identifier.doi | http://dx.doi.org/10.1007/s10444-014-9356-1 | es |
dc.journaltitle | Advances in Computational Mathematics | es |
dc.publication.volumen | 41 | es |
dc.publication.initialPage | 253 | es |
dc.publication.endPage | 275 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/38719 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Computation of cubical homology.pdf | 530.2Kb | [PDF] | Ver/ | |