2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231527We compute (algebraically) the Euler characteristic of a complex of sheaves with constructible cohomology. A stratified Poincaré-Hopf formula is then a consequence of the smooth Poincaré-Hopf theorem and of additivity of the Euler-Poincaré characteristic with compact supports, once we have a suitable definition of index.Algebraic Topology55N33 57R25A theorem of Poincaré-Hopf typetext