Matheus Eduardo Dametto Silva in research grants and scholarships supported by FAPESP.
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Let M be a smooth connected Hausdorff manifold of dimension n. We denote by TpM the tangent space of M, in p of M, by tauM the fibre bundle of M and by TM , the total space of such fibre bundle. A vector field is a continuous map M to TpM which associates to each point p of M, a vector v(p) in TpM. Then a vector field is a section v : M to TpM. Sankaran presents a very interesting surve…
The method of Algebraic Topology consists of describing the geometric structure of a topological space, associating to it an algebraic system, usually a group or a sequence of groups. To the continuous functions between spaces correspond homomorphisms between the groups associated to them. In this project we will develop the fundamental group. We will see, for example, that the fundamenta…
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