2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129211We use Kiehl-Verdier's and Houzel's finiteness theorems in the setting of local analytic geometry, and the Whitney-Thom theory of stratified spaces, to prove that fibrewise constructible complex of sheaves have coherent direct images. We review the notions of stratification theory which are needed.19 pagesAlgebraic GeometryFunctional Analysis32B05Finiteness and constructibility in local analytic geometrytext