Undergraduate student at Federal University of São Carlos, scholarship recipient for scientific initiation in Topology, oriented by Prof. Dr. Luiz Roberto Hartmann Junior, funded by FAPESP, process n 2024/17530-7.Past experience in academic tutoring, participation in PET Matemática UFSCar, finalized scholarship for scientific initiation in Analysis and Differential Geometry, oriented by Prof. Dr. Olímpio Hiroshi Miyagaki (FAPESP process n 2023/04927-3). (Source: Lattes Curriculum)
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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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