1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AG2010
Directional properties of sets definable in o-minimal structures
Satoshi Koike, Ta Le Loi, Laurentiu Paunescu +1
In a former paper the first and third authors introduced the notion of direction set for a subset of R^n, and showed that the dimension of the common direction set of two subanalyt…
math.DG1997★ 1 cited
On the bifurcation sets of functions definable in o-minimal structures
Ta Lê Loi, Alexandru Zaharia
Let g:X -> Y be a smooth (i.e. C^\infty differentiable) map between two smooth manifolds. In analogy with the case of complex polynomial functions, we say that y_0 in Y is a typica…
math.DG1997
Verdier stratifications and [wf]-stratification in o-minimal structures
Ta Lê Loi
We prove the existence of Verdier stratifications for sets definable in any o-minimal structure on (R, +, .). It is also shown that the Verdier condition (w) implies the Whitney co…