Sufficient cohesion over atomic toposes
Let (D, Jat) be an atomic site and j : Sh(D, Jat) → Db be the associated sheaf topos. Any functor φ : C → D induces a geometric morphism C →b Db and, by pulling-back along j, a geometric morphism q : F → Sh(D, Jat). We give a sufficient condition on φ for q to satisfy the Nullstellensatz and Suffici...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/34354 |
| Acceso en línea: | http://hdl.handle.net/11336/34354 |
| Access Level: | acceso abierto |
| Palabra clave: | Axiomatic Cohesion https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Let (D, Jat) be an atomic site and j : Sh(D, Jat) → Db be the associated sheaf topos. Any functor φ : C → D induces a geometric morphism C →b Db and, by pulling-back along j, a geometric morphism q : F → Sh(D, Jat). We give a sufficient condition on φ for q to satisfy the Nullstellensatz and Sufficient Cohesion in the sense of Axiomatic Cohesion. This is motivated by the examples where Dop is a category of finite field extensions. |
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