13 citations · 50 across the 20 of their papers we have counts for
10 papers · 1 filter
A remark on definable equivalence
Anna Valette, Guillaume Valette
We establish that if a submanifold of is definable in some o-minimal structure then any definable submanifold which is $\mathscr{C}^\inft…
Poincaré duality for cohomology on subanalytic singular spaces
Guillaume Valette
We investigate the problem of Poincaré duality for differential forms on bounded subanalytic submanifolds of (not necessarily compact). We show that, when …
Efroymson's approximation theorem for globally subanalytic functions
Anna Valette, Guillaume Valette
Efroymson's approximation theorem asserts that if is a semialgebraic mapping on a semialgebraic submanifold of and if $\…
Whitney stratifications and the continuity of local Lipschitz Killing curvatures
Nhan Nguyen, Guillaume Valette
We prove that local Lipschitz Killing curvatures of definable sets in a polynomially bounded o-minimal structure are continuous along strata of Whitney stratifications and locally…
A generalized Sard theorem on real closed fields
Anna Valette, Guillaume Valette
We work with semi-algebraic functions on arbitrary real closed fields. We generalize the notion of critical values and prove a Sard type theorem in our framework.
On a singular variety associated to a polynomial mapping
Nguyen Thi Bich Thuy, Anna Valette, Guillaume Valette
In the paper "Geometry of polynomial mapping at infinity via intersection homology" the second and third authors associated to a given polynomial mapping $F : \C^2 \to \C^2$ with n…