Livia Ribeiro Marques Camilo in research grants and scholarships supported by FAPESP.
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We propose the study of some classical theorems in Topology such as the Tychonoff Theorem, Urysohn's Lemma, Tietze's Extension Theorem, and Ascoli's Theorem. These fundamental elements are key points in various areas such as Algebraic Topology, Analysis, and Geometry
For the duration of this project, the intention is the study of a few of the maximum and minimum problems, enfasizing the study of Isoperimetric Inequality and its many applications.Said knowledge will be given as the infrastructure needed to the study of the Fourier series, once this is one of the most specific objects of study. Henceforth, it also will be studied an introduction to Sobo…
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