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math.DG2017
Transversality of smooth definable maps in O-minimal structures
Nhan Nguyen, Saurabh Trivedi
We present a definable smooth version of the Thom transversality theorem. We show further that the set of non-transverse definable smooth maps is nowhere dense in the definable smo…
math.DG2014
A geometric proof of the existence of definable Whitney stratifications
Nhan Nguyen, Saurabh Trivedi, David Trotman
We give a geometric proof of existence of Whitney stratifications of definable sets in o-minimal structures.