7 citations · 7 across the 8 of their papers we have counts for
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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.
math.DG2011
Transversality theorems for the weak topology
Saurabh Trivedi
In his 1979 paper Trotman proves, using the techniques of the Thom transversality theorem, that under some conditions on the dimensions of the manifolds under consideration, openne…