Suppose that X is a topological space, f is a real valued function on X, and c is a real
number. Then we will denote by X≤ c the subspace of points x in X such that f (x)≤ c. The …

Vector fields on manifolds play a major role in mathematics and other sciences. In particular,
the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold …

1. Introduction. A polynomial f: Cn C induces a locally trivial fibration f: cn\f-1 (A) C\A above
the complement of a finite set A; this is a conse-quence of Thom's work IT] and a proof can …

This book has been awarded the Ferran Sunyer i Balaguer 2005 prize. The aim of this book
is to give an overview of selected topics on the topology of real and complex isolated …

In this paper we discuss the topology of the image of a stable perturbation of a finitely
determined map-germ fo:(~ n. 0)....(~ n+ 1.0). and its relation to the number of parameters …

Suppose that f: ℂ n, 0→ ℂ p, 0 is finitely A-determined with n≧ p. We define a “Milnor fiber”
for the discriminant of f; it is the discriminant of a “stabilization” of f. We prove that this …

Several authors have proved Lefschetz type formulas for the local Euler obstruction. In
particular, a result of this type has been proved that turns out to be equivalent to saying that …

Milnor numbers and Euler obstruction* Page 1 “main” — 2005/6/23 — 18:48 — page 275 — #1
Bull Braz Math Soc, New Series 36(2), 275-283 © 2005, Sociedade Brasileira de Matemática …

We consider the Milnor fibre of an isolated singularity ƒ:(X, 0)→(C, 0) on a reduced, Whitney
stratified space germ (X, 0) and prove that it is homotopy equivalent to a bouquet of repeated …

Associated to each unstable map-germ fo: cn, 0~ CP, 0, where (n, p) are in Mather's range
of" nice dimensions", there is a" stabilisation"; that is, a locally stable mapping f: U~ CP …