Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a
singular space into smooth manifolds, a great geometrical idea due to R. Thom and H …

Assuming that the reader is familiar with sheaf theory, the book gives a self-contained
introduction to the theory of constructible sheaves related to many kinds of singular spaces …

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 …

We present a detailed introduction of the theory of constructible sheaf complexes in the
complex algebraic and analytic setting. All concepts are illustrated by many interesting …

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 …

We consider polynomial mappings which have atypical fibres due to the asymptotic behavior
at infinity. Fixing some proper extension of the polynomial mapping, we study the …

The fibration theorem for analytic maps near a critical point published by John Milnor in
1968 is a cornerstone in singularity theory. It has opened several research fields and given …