Curvas de Peano, lineabilidade, espaçabilidade e algebrabilidade
In this dissertation, we turn our attention to the space of the continuous surjections between euclidean spaces. We constructed a Peano curve, also known as a space ll curve, and proved a result of optimal lineability from the point of view of dimension. Then we prove some properties on the order of...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Brasil |
| Institución: | Universidade Federal da Paraíba (UFPB) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da UFPB |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufpb.br:123456789/14968 |
| Acceso en línea: | https://repositorio.ufpb.br/jspui/handle/123456789/14968 |
| Access Level: | acceso abierto |
| Palabra clave: | Lineabilidade Espaçabilidade Algebrabilidade Curvas de Peano Lineability Spaceability Algebrability Peano curves CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | In this dissertation, we turn our attention to the space of the continuous surjections between euclidean spaces. We constructed a Peano curve, also known as a space ll curve, and proved a result of optimal lineability from the point of view of dimension. Then we prove some properties on the order of growth of whole functions and we deal with the problem of algebrability, proving that the space of continuous surjections with complex values is strongly maximal algebrable. Subsequently, we prove the spaceability of the Peano curves between euclidean spaces andwe nalize our work by bringing some generalizations of the presented results to topological vector spaces that are continuous image of the real line. |
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