Simplicial Lusternik-Schnirelmann category
Algebraic Topology
2016-07-13 v2
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.
Cite
@article{arxiv.1605.01322,
title = {Simplicial Lusternik-Schnirelmann category},
author = {Desamparados Fernández-Ternero and Enrique Macías-Virgós and Erika Minuz and José Antonio Vilches},
journal= {arXiv preprint arXiv:1605.01322},
year = {2016}
}
Comments
28 pages, 10 figures. This is a second version where the subsection 5.2 on fibrations has been removed