Master's Final Project
Ultrafiltros y aplicaciones
Author/s | Camúñez Triguero, Manuel |
Director | Japón Pineda, María de los Ángeles |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2022-06-18 |
Deposit Date | 2023-02-09 |
Academic Title | Universidad de Sevilla. Máster Universitario en Matemáticas |
Abstract | In this document, we present the notion of ultrafilter and study some of its properties and applications. Firstly, the manuscript begins with a general study of filters and
ultrafilters, and compare them with some other ... In this document, we present the notion of ultrafilter and study some of its properties and applications. Firstly, the manuscript begins with a general study of filters and ultrafilters, and compare them with some other more broadly extended mathematical concepts such as topology or nets. Next, ultrafilters are applied as relevant tools in some other areas of Mathematics, such as Analysis or Combinatorics. The last chapter consists of an application of ultrafilters to Social Sciencies and more particularly to the Arrow’s Imposibility Theorem. |
Citation | Camúñez Triguero, M. (2022). Ultrafiltros y aplicaciones. (Trabajo Fin de Máster Inédito). Universidad de Sevilla, Sevilla. |
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MUM CAMUÑEZ TRIGUERO, MANUEL.pdf | 900.1Kb | [PDF] | View/ | |