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This paper aims to enunciate and demonstrate important peculiar results that occur in metric spaces. For this, it is used the bibliographical research, with which a study and survey was made on the metric spaces, sequences in metric spaces, vector spaces, normed vector spaces, continuous function...
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| Outros Autores: | |
| Formato: | bachelorThesis |
| Idioma: | pt_BR |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Assuntos: | |
| Endereço do item: | https://repositorio.ufrn.br/handle/123456789/36709 |
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| Resumo: | This paper aims to enunciate and demonstrate important peculiar results that occur
in metric spaces. For this, it is used the bibliographical research, with which a study
and survey was made on the metric spaces, sequences in metric spaces, vector spaces,
normed vector spaces, continuous functions, and homeomorphisms. Therefore, from
the structural concepts of the work, we conclude two results in the metric spaces: the
stereographic projections in two and three dimensions. The first result relates the
number of points in a circle with the number of points on the line, more precisely, the
circle has one point more than the line. The second, analogous to the first, shows the
sphere with one point more than the plane. |
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