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math.NA2012
A numerical approach to some basic theorems in singularity theory
Ta Le Loi, Phan Phien
In this paper, we give the explicit bounds for the data of objects involved in some basic theorems of Singularity theory: the Inverse, Implicit and Rank Theorems for Lipschitz mapp…
math.DG2012
Bounds of Hausdorff measures of tame sets
Ta Le Loi, Phan Phien
In this paper we present some bounds of Hausdorff measures of objects definable in o-minimal structures: sets, fibers of maps, inverse images of curves of maps, etc. Moreover, we a…