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
- Rights
- License
- Abierto (Texto Completo)
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| dc.title.spa.fl_str_mv |
Minimality in diagrams of simplicial sets |
| title |
Minimality in diagrams of simplicial sets |
| spellingShingle |
Minimality in diagrams of simplicial sets Diagram Fibre bundle Minimal fibration Simplicial space |
| title_short |
Minimality in diagrams of simplicial sets |
| title_full |
Minimality in diagrams of simplicial sets |
| title_fullStr |
Minimality in diagrams of simplicial sets |
| title_full_unstemmed |
Minimality in diagrams of simplicial sets |
| title_sort |
Minimality in diagrams of simplicial sets |
| dc.subject.keyword.spa.fl_str_mv |
Diagram Fibre bundle Minimal fibration Simplicial space |
| topic |
Diagram Fibre bundle Minimal fibration Simplicial space |
| description |
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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2019 |
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2019 |
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2020-05-25T23:56:13Z |
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2020-05-25T23:56:13Z |
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article |
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Artículo |
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https://doi.org/10.1007/s40062-019-00239-y |
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21938407 15122891 |
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https://repository.urosario.edu.co/handle/10336/22365 |
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21938407 15122891 |
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eng |
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1082 |
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No. 4 |
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1043 |
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Journal of Homotopy and Related Structures |
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Vol. 14 |
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Journal of Homotopy and Related Structures, ISSN:21938407, 15122891, Vol.14, No.4 (2019); pp. 1043-1082 |
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Springer Verlag |
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Universidad del Rosario |
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