On Interchanging Homotopy Limits and Colimits in CAT : Notas de Matemática, 64
Let I ,J be small categories and let C : / x J → CAT be a functor to the category of small categories. We show that, if I has a final object then the canonical map hocolimj holim/ C → holim/ hocolimj C is a weak homotopy equivalence.
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| Formato: | Publicacion seriada |
| Lenguaje: | Inglés |
| Publicado: |
1997
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/171368 |
| Aporte de: |
| Sumario: | Let I ,J be small categories and let C : / x J → CAT be a functor to the category of small categories. We show that, if I has a final object then the canonical map hocolimj holim/ C → holim/ hocolimj C is a weak homotopy equivalence. |
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