6 citations · 33 across the 18 of their papers we have counts for
12 papers · 1 filter
One point compactification and Lipschitz normally embedded definable subsets
André Costa, Vincent Grandjean, Maria Michalska
A closed subset of , definable in some given o-minimal structure, is Lipschitz normally embedded in if and only if its one-point compactification is Li…
Equi-singularity of real families and Lipschitz Killing curvature densities at infinity
Nicolas Dutertre, Vincent Grandjean
Fix an o-minimal structure expanding the ordered field of real numbers. Let be a definable family of closed subsets of whose total space $…
Lipschitz trivial values of polynomial mappings
André Costa, Vincent Grandjean, Maria Michalska
Real or complex polynomial mappings between affines spaces admitting a Lipschitz-trivial value are completely characterized.
Multiplicity and degree relative to a set
Vincent Grandjean, Maria Michalska
The multiplicity (resp. degree) of a function relative to a semianalytic subset of is the greatest (resp. smallest) exponent among numbers such that the…
A note on the local Lipschitz triviality of values of complex polynomial functions
Alexandre Fernandes, Vincent Grandjean, Humberto Soares
We address the question of the bi-Lipschitz local triviality of a complex polynomial function over a complex value. Our main result state that a non constant complex polynomial adm…
Gauss-Kronecker Curvature and equisingularity at infinity of definable families
Nicolas Dutertre, Vincent Grandjean
Assume given a polynomially bounded o-minimal structure expanding the real numbers. Let be a globally definable one parameter family of -hypersurface…