Milnor Fibrations and the Thom Property for maps $f\bar{g}$
International audience
Manifold arrangements
Published in Journal of Combinatorial Theory, Series A
We determine the cd-index of the induced subdivision arising from a manifold arrangement. This generalizes earlier results in several directions: (i) One can work with manifolds other than the n-sphere and n-torus, (ii) the induced subdivision is a Whitney stratification, and (iii) the submanifolds in the arrangement are no longer required to be of...
Whitney stratifications and the continuity of local Lipschitz Killing curvatures
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 Lipschitz if the stratifications are (w)- regular.
THE LE-GREUEL FORMULA FOR FUNCTIONS ON ANALYTIC SPACES
In this article we give an extension of the Le-Greuel formula to the general setting of function germs (f, g) defined on a complex analytic variety X with arbitrary singular set, where f = (f(1), ..., f(k)) (X, (0) under bar) -> (C-k, (0) under bar) is generically a submersion with respect to some Whitney stratification on X. We assume further that...
