Transverse regular stratifications

Patrice Orro (1) , David J. A. Trotman (2)

1 LAMA - Laboratoire de Mathématiques
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

We state and prove a general theorem stating that transversally inter- secting regular stratified sets have regularly stratified intersection and union, for a large class of regularity conditions including Verdier's (w)-regularity.

Domaines: Géométrie différentielle [math.DG]

Patrice Orro, David J. A. Trotman. Transverse regular stratifications. Proceedings of the 10th Workshop "Real and complex singularities", Sao Carlos 2008, 2009. ⟨hal-00389015⟩