K-finite decidable objects and finite cardinals in an arbitrary topos
In an elemetary topos ε, we prove that the class of K-finite decidable objects is the same to the class of finite cardinals in E if and only if every K-finite decidable object X such that X → 1 is epic, then 1→ X is split epic.
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Costa Rica |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Idioma: | español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/2101 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/2101 |
| Access Level: | acceso abierto |
| Palabra clave: | Topoi K-finite objects decidable objects Teoría de topos objetos K-finitos objetos decidibles |
| Sumario: | In an elemetary topos ε, we prove that the class of K-finite decidable objects is the same to the class of finite cardinals in E if and only if every K-finite decidable object X such that X → 1 is epic, then 1→ X is split epic. |
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