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The Quarterly Journal of Mathematics Advance Access published online on June 10, 2008
The Quarterly Journal of Mathematics, doi:10.1093/qmath/han011
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© 2008. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

THE EULER OBSTRUCTION AND BRUCE–ROBERTS' MILNOR NUMBER

Nivaldo De Góes Grulha, JR{dagger}

Instituto de Ciências Matemáticas e de Computação—USP, Av. Trabalhador São-carlense, 400—Centro. Caixa Postal: 668—CEP: 13560-970, São Carlos, SP, Brazil
Institut de Mathématiques de Luminy (UMR 6206), Université de la Méditerranée—Campus de Luminy, Case 907, 13288 Marseille Cedex 9, France

{dagger} E-mail: njunior{at}icmc.usp.br

Received 26 October 2007; revised 1 April 2008
  Abstract

In this work we determine relations between the local Euler obstruction of an analytic function f and the Milnor number of f defined by Bruce and Roberts for functions on singular spaces.


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