Nhan Nguyen (ICMC-USP)

Tuesday, April 4th, 10:20, Room 3-012

Title: Transversality of definable smooth maps in o-minimal structures

Abstract:

We present a definable smooth version of Thom's transversality theorem. We show further that the set of non-transverse definable smooth maps is nowhere dense. Finally, we prove a definable version of a theorem of Trotman which says that the Whitney (a)-regularity of a stratification is necessary and sufficient for the stability of transversality.