Simplicial Lusternik-Schnirelmann category

2016/05/04 by Fernández-Ternero, Desamparados, Macías-Virgós, Enrique, Minuz, Erika +1 · 2 citations
#55M30 #55U10 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.01322

Abstract

The simplicial LS-category of a finite abstract simplicial complex is a new invariant of the strong homotopy type, defined in purely combinatorial terms, that generalizes to arbitrary simplicial complexes the well known notion of arboricity of a graph, and that allows to develop all the machinery of algebraic topology which is costumary in the classical theory of Lusternik-Schnirelmann category.

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