2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76615This paper shows how Hodge's theory of harmonic $p$-sets (a discrete version of his theory of harmonic forms) allows a new approach to be taken to the problem of providing a combinatorial definition of the Pontrjagin classes of a compact manifold. This approach is then related to the author's definition of flag vectors for hypergraphs, and other objects constructed out of vertices and cells.LaTeX 2e, 3 pagesGeometric TopologyCombinatoricsQuantum Algebra57R20 05C65text