dc.creator | Fernández Ternero, Desamparados | es |
dc.creator | Macías Virgós, Enrique | es |
dc.creator | Minuz, Erica | es |
dc.creator | Vilches Alarcón, José Antonio | es |
dc.date.accessioned | 2021-03-18T14:58:01Z | |
dc.date.available | 2021-03-18T14:58:01Z | |
dc.date.issued | 2019-01-01 | |
dc.identifier.citation | Fernández Ternero, D., Macías Virgós, E., Minuz, E. y Vilches Alarcón, J.A. (2019). Simplicial Lusternik-Schnirelmann category. Publicacions matemàtiques, 63 (1), 265-296. | |
dc.identifier.issn | 2014-4350 | es |
dc.identifier.uri | https://hdl.handle.net/11441/106288 | |
dc.description.abstract | The simplicial LS-category of a nite abstract simplicial complex is a new invariant of the strong homotopy type, de ned in purely combinatorial terms. We prove that it generalizes to arbitrary simplicial complexes the well known notion of arboricity of a graph, and that it allows to develop many notions and results of alge- braic topology which are costumary in the classical theory of Lusternik{Schnirelmann category. Also we compare the simplicial category of a complex with the LS-category of its geometric realization and we discuss the simplicial analogue of the Whitehead formulation of the LS-category. | es |
dc.format | application/pdf | es |
dc.format.extent | 31 p. | es |
dc.language.iso | eng | es |
dc.publisher | Universidad Autónoma de Barcelona | es |
dc.relation.ispartof | Publicacions matemàtiques, 63 (1), 265-296. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lusternik{Schnirelmann category | es |
dc.subject | strong homotopy type | es |
dc.subject | geometric realization | es |
dc.subject | Whitehead formulation of category | es |
dc.subject | graph arboricity | es |
dc.title | Simplicial Lusternik-Schnirelmann category | 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 | https://doi.org/10.5565/PUBLMAT6311909 | es |
dc.identifier.doi | 10.5565/PUBLMAT6311909 | es |
dc.journaltitle | Publicacions matemàtiques | es |
dc.publication.volumen | 63 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 265 | es |
dc.publication.endPage | 296 | es |