Has experience in Mathematics, focusing on Lipschitz Geometry. Another subjects in interest are Algebraic Geometry, Topology, Number Theory and Mathematical Olympiads. (Source: Lattes Curriculum)
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One of the most interesting problems in geometry is the existence and classification of extensions of mappings, whether they are homeomorphisms or diffeomorphisms. A classic result is Alexander's Trick, which says that two homeomorphisms in Bn that are isotopic on the boundary are isotopic. Such isotopies generally do not preserve differential structures, and interesting examples of this …
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