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Master thesis . 2023
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idUS. Depósito de Investigación de la Universidad de Sevilla.
Master thesis . 2023
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Ultrafiltros y aplicaciones

descriptionPublicationkeyboard_double_arrow_right Master thesis 01 Jan 2023 Spain Spanish
Authors: Camúñez Triguero, Manuel;

handle: 11441/142571

Ultrafiltros y aplicaciones

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 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.

Universidad de Sevilla. Máster Universitario en Matemáticas

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Spain
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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