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...
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.
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...
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