Um background na teoria dos conjuntos

• Autor(a) principal: Aguiar, Francisco Fagner Portela
• Data de Publicação: 2015
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da Universidade Federal do Ceará (UFC)
• Texto Completo: http://www.repositorio.ufc.br/handle/riufc/13985
• topic: Teoria dos conjuntos; Teorema de Cantor; Axioma da escolha

The set theory sometimes left out in some high schools, is in a key element for understanding the functions in particular. Failure to address this issue or its superficial approach leaves the student a difficult gap to be filled in later studies. Incidentally, the left gap may hinder student performance in higher education. If this is so, is the main objective of this work to a reinterpretation of the main topics linked to the high school set theory, while making a bridge between these and other equally important points dealing with sets in a more academic language. Will be covered from the properties and theorems related to finite sets up its generalization to infinite sets, culminating in the Cantor-Schroeder-Bernstein theorem, the Axiom of Choice and Zorn’s Lemma. To this end, there were literature searches in various sources.