Algunas consideraciones sobre un Teorema de Benabou de Booleanidad de un topos elemental
We prove that any elementary topos any objet A such that A + A has an internal choice map, then every subobject of A has complement. We also consider a weaker concept of choice map and we prove that any K−finite decidable objet has this kind of choice map (internally).
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Costa Rica |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Idioma: | español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/39391 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/39391 |
| Access Level: | acceso abierto |
| Palabra clave: | Topoi finiteness choice Teoría de topos finitud axioma de elección |
| Sumario: | We prove that any elementary topos any objet A such that A + A has an internal choice map, then every subobject of A has complement. We also consider a weaker concept of choice map and we prove that any K−finite decidable objet has this kind of choice map (internally). |
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