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29 p, 508.5 KB Simplicial Lusternik-Schnirelmann category / Fernandez-Ternero, Desamparados (Universidad de Sevilla. Departamento de Geometría y Topología) ; Macías-Virgós, Enrique (Universidade de Santiago de Compostela. Departamento de Matemáticas) ; Minuz, Erica (Aarhus University (Dinamarca). Department of Mathematics) ; Vilches Alarcón, José Antonio (Universidad de Sevilla. Departamento de Geometría y Topología)
The simplicial LS-category of a finite abstract simplicial complex is a new invariant of the strong homotopy type, defined 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 algebraic topology which are costumary in the classical theory of Lusternik-Schnirelmann category. [...]
2019 - 10.5565/PUBLMAT6311909
Publicacions matemàtiques, Vol. 63 Núm. 1 (2019) , p. 265-293 (Articles)  
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