3 citations · 4 across the 4 of their papers we have counts for
4 papers
The quantitative Morse theorem
Ta Le Loi, Phan Phien
In this paper, we give a proof of the quantitative Morse theorem stated by {Y. Yomdin} in \cite{Y1}. The proof is based on the quantitative Sard theorem, the quantitative inverse f…
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…
Some quantitative results on Lipschitz inverse and implicit functions theorems
Phan Phien
Let be a Lipschitz mapping with generalized Jacobian at , denoted by , is of maximal rank. F. H. Clarke (1976)…
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…