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:
- Tipo de recurso:
- Fecha de publicación:
- 2019
- Institución:
- Universidad del Rosario
- Repositorio:
- Repositorio EdocUR - U. Rosario
- Idioma:
- eng
- 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
- Palabra clave:
- Diagram
Fibre bundle
Minimal fibration
Simplicial space
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- License
- Abierto (Texto Completo)
| Summary: | 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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