Simplicial Lusternik-Schnirelmann category

11 Jul 2016  ·  Fernández-Ternero Desamparados, Macías-Virgós Enrique, Minuz Erika, Vilches José Antonio ·

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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Algebraic Topology