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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
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