Level ε
Lawvere has observed that certain ‘gros’ toposes in algebraic geometry suggest the existence of an ‘infinitesimal level’, closely related to finite-dimensional local algebras. Motivated by this observation we propose an elementary definition of level associated to a local geometric morphism, establi...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/129623 |
| Acceso en línea: | http://hdl.handle.net/11336/129623 |
| Access Level: | acceso abierto |
| Palabra clave: | TOPOS THEORY AXIOMATIC COHESION ALGEBRAIC GEOMETRY https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Lawvere has observed that certain ‘gros’ toposes in algebraic geometry suggest the existence of an ‘infinitesimal level’, closely related to finite-dimensional local algebras. Motivated by this observation we propose an elementary definition of level associated to a local geometric morphism, establish some relevant basic properties suggested by geometric intuition, and give concrete descriptions of the level determined by several pre-cohesive geometric morphisms. |
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