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Injetividade de aplicações polinomiais via resolubilidade de campos vetoriais
(Universidade Federal de São Carlos, 2010-08-19)
Let F : Rn → Rn be a polynomial map such that the derivative map DF(x) be invertible for each x ∈ Rn. In this work, using techniques of solvability of suitable vector fields, we investigate the role of the ...
Sobre o gênus de G-espaços e teoremas de coincidências
(Universidade Federal de São Carlos, 2010-07-06)
Let G be a finite group acting freely in a Hausdorff paracompact topological space X and let Y be a k-dimensional metrizable space (or k-dimensional CW-complex). In this work, by using the genus of X; gen(X;G), we prove ...