On the functoriality of stratified desingularizations

• Autores: T. Guardia, Gabriel Padilla
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 23, Nº 2, 2008, págs. 139-154
• Idioma: inglés
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• Resumen

  • 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.