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On The Functorialrily Of Stratified Desingularizations

Algebraic Topology 2010-04-21 v2 Differential Geometry

Abstract

This article is devoted to the study of smooth desingularization, which are customary employed in the definition of De Rham Intersection Cohomology with differential forms. In this paper we work with the category of Thom-Mather simple spaces. We construct a functor which sends each Thom-Mather simple space into a smooth manifold called its primary unfolding. Hence we prove that the primary unfoldings are unique up Thom-Mather isomorphisms.

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Cite

@article{arxiv.0806.0174,
  title  = {On The Functorialrily Of Stratified Desingularizations},
  author = {Tomas Guardia and Gabriel Padilla},
  journal= {arXiv preprint arXiv:0806.0174},
  year   = {2010}
}

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11 Pages