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Artículo
Perfect discrete Morse functions on 2-complexes
dc.creator | Ayala Gómez, Rafael | es |
dc.creator | Fernández Ternero, Desamparados | es |
dc.creator | Vilches Alarcón, José Antonio | es |
dc.date.accessioned | 2015-06-29T08:26:49Z | |
dc.date.available | 2015-06-29T08:26:49Z | |
dc.date.issued | 2010 | es |
dc.identifier.issn | 1885-4508 | es |
dc.identifier.uri | http://hdl.handle.net/11441/26183 | |
dc.description.abstract | This 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.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Universidad de Sevilla | es |
dc.relation.ispartof | Image-A : Applicable Mathematics in Image Engineering, 1 (1), 19-26 | es |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | es |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | es |
dc.subject | Perfect discrete Morse function | es |
dc.subject | Betti numbers | es |
dc.subject | Simplicial complex | es |
dc.title | Perfect discrete Morse functions on 2-complexes | es |
dc.type | info:eu-repo/semantics/article | es |
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 Geometría y Topología | es |
dc.relation.publisherversion | http://institucional.us.es/revistas/imagen_a/1/art_4.pdf | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/26183 |