Minimality in diagrams of simplicial sets
We formulate the concept of minimal fibration in the context of fibrations in the model category SC of C-diagrams of simplicial sets, for a small index category C. When C is an EI-category satisfying some mild finiteness restrictions, we show that every fibration of C-diagrams admits a well-behaved...
| Autores: | ; ; |
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| Tipo de documento: | Artículo |
| Estado: | Published version |
| Fecha de publicación: | 2019 |
| País: | Colombia |
| Institución: | Universidad del Rosario |
| Repositorio: | Repositorio EdocUR - U. Rosario |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:repository.urosario.edu.co:10336/22365 |
| Acceso en línea: | https://doi.org/10.1007/s40062-019-00239-y https://repository.urosario.edu.co/handle/10336/22365 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Diagram Fibre bundle Minimal fibration Simplicial space |
| Sumario: | We formulate the concept of minimal fibration in the context of fibrations in the model category SC of C-diagrams of simplicial sets, for a small index category C. When C is an EI-category satisfying some mild finiteness restrictions, we show that every fibration of C-diagrams admits a well-behaved minimal model. As a consequence, we establish a classification theorem for fibrations in SC over a constant diagram, generalizing the classification theorem of Barratt, Gugenheim, and Moore for simplicial fibrations (Barratt et al. in Am J Math 81:639–657, 1959). © 2019, Tbilisi Centre for Mathematical Sciences. |
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