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dc.creatorAyala Gómez, Rafaeles
dc.creatorFernández Ternero, Desamparadoses
dc.creatorVilches Alarcón, José Antonioes
dc.date.accessioned2015-06-29T08:26:49Z
dc.date.available2015-06-29T08:26:49Z
dc.date.issued2010es
dc.identifier.issn1885-4508es
dc.identifier.urihttp://hdl.handle.net/11441/26183
dc.description.abstractThis paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. These are those discrete Morse functions such that the number of critical i-simplices coincides with the i-th Betti number of the complex. In particular, we establish conditions under which a 2-complex admits a perfect discrete Morse function and conversely, we get topological properties of a 2-complex admitting such kind of functions. This approach is more general than the known results in the literature [7], since our study is not restricted to surfaces. These results can be considered as a first step in the study of perfect discrete Morse functions on 3-manifolds.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherUniversidad de Sevillaes
dc.relation.ispartofImage-A : Applicable Mathematics in Image Engineering, 1 (1), 19-26es
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Españaes
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/es
dc.subjectPerfect discrete Morse functiones
dc.subjectBetti numberses
dc.subjectSimplicial complexes
dc.titlePerfect discrete Morse functions on 2-complexeses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Geometría y Topologíaes
dc.relation.publisherversionhttp://institucional.us.es/revistas/imagen_a/1/art_4.pdfes
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/26183

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