Conjunto de Cantor: construção, propriedades e aplicações
We start this work presenting some concepts and theorems about Topology on the Real Line. Next, we build the Cantor set, study some of its properties and present a definition that generalizes the concept of Cantor-type set. Finally, we use Cantor-type sets to build an everywhere surjective function.
| Autor principal: | França, Luís Filipe Vital de |
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| Grau: | Trabalho de Conclusão de Curso |
| Idioma: | por |
| Publicado em: |
Brasil
2024
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| Assuntos: | |
| Acesso em linha: |
http://riu.ufam.edu.br/handle/prefix/7898 |
| Resumo: |
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We start this work presenting some concepts and theorems about Topology on the Real Line. Next, we build the Cantor set, study some of its properties and present a definition that generalizes the concept of Cantor-type set. Finally, we use Cantor-type sets to build an everywhere surjective function. |