Resumen de On the functoriality of stratified desingularizations

T. Guardia, Gabriel Padilla

• This article is devoted to the study of smooth desingularizations, a geometric tool usually employed in the de¯nition of the De Rham Intersection Cohomology with di®erential forms [12]. In this paper we work with the category of Thom-Mather simple spaces [10], [14].

  We construct a functor which sends each Thom-Mather simple space into a smooth manifold called its primary unfolding, and prove that this construction is functorially preserved under Thom-Mather morphisms.