2021-03-182021-03-182019-01-01Fernández Ternero, D., Macías Virgós, E., Minuz, E. y Vilches Alarcón, J.A. (2019). Simplicial Lusternik-Schnirelmann category. Publicacions matemàtiques, 63 (1), 265-296.2014-4350https://hdl.handle.net/11441/106288The 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.application/pdf31 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Lusternik{Schnirelmann categorystrong homotopy typegeometric realizationWhitehead formulation of categorygraph arboricityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.5565/PUBLMAT6311909