2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231487We show that coloring properties of a simplicial complex K are reflected by splitting properties of a bundle over the associated Davis-Januszkiewicz space whose Chern classes are given by the elementary symmetric polynomials in the generators of the Stanley-Reisner algebra of K.8 pagesAlgebraic TopologyCombinatorics55R10, 57R22, 05C15Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spacestext