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arXiv · 1605.01322

Simplicial Lusternik-Schnirelmann category

Desamparados Fernández-Ternero·Enrique Macías-Virgós·Erika Minuz·José Antonio Vilches
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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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Desamparados Fernández-Ternero, Enrique Macías-Virgós, Erika Minuz, José Antonio Vilches. 2016-05-04. Simplicial Lusternik-Schnirelmann category. https://arxiv.org/abs/1605.01322

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