October  2008, 20(4): 823-847. doi: 10.3934/dcds.2008.20.823

Topological invariants for singularities of real vector fields in dimension three


Dpto. de Estadística e Investigación Operativa, Universidad de Alicante, 03690 San Vicente del Raspeig, Alicante, Spain


Foundation Getulio Vargas, Rio de Janeiro, Brazil


Dpto. Álgebra, Geometría y Topología, Universidad de Valladolid, 47005 Valladolid, Spain

Received  December 2006 Revised  September 2007 Published  January 2008

We give topological invariants for a wide class of abso-lutely isolated singularities of three-dimensional real vector fields. Our invariants are complete once the desingularization morphism $\pi$ is fixed. They are obtained in terms of a finite set of configurations depending only on the eigenvalues of the singularities.
Citation: C. Alonso-González, M. I. Camacho, F. Cano. Topological invariants for singularities of real vector fields in dimension three. Discrete & Continuous Dynamical Systems - A, 2008, 20 (4) : 823-847. doi: 10.3934/dcds.2008.20.823

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