3 citations · 3 across the 4 of their papers we have counts for
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Principal Kinematic Formulas for Germs of Closed Definable Sets
Nicolas Dutertre
We prove two principal kinematic formulas for germs of closed definable sets in , that generalize the Cauchy-Crofton formula for the density due to Comte and the infi…
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…
On the topology of non-isolated real singularities
Nicolas Dutertre
Khimshiashvili proved a topological degree formula for the Eu-ler characteristic of the Milnor fibres of a real function-germ with an isolated singularity. We give two generalizati…
Topology of real Milnor fibration for non-isolated singularities
Nicolas Dutertre, Raimundo N. Araújo Dos Santos
We consider a real analytic map , , that satisfies Milnor's conditions (a) and (b) introduced by D…
On the topology of semi-algebraic functions on closed semi-algebraic sets
Nicolas Dutertre
We consider a semi-algebraic function defined on a closed semi-algebraic set X. We give formulas relating the topology of X to the indices of the critical points of the function an…