A closed model category for (n-1)-connected spaces
For each integer n > 0, we give a distinct closed model category structure to the category of pointed spaces Top * such that the corresponding localized category Ho(Top * n) is equivalent to the standard homotopy category of (n - 1)-connected CW-complexes. The structure of closed model catego...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1996 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6a15b750603269e826b5 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc6a15b750603269e826b5 |
| Access Level: | acceso abierto |
| Palabra clave: | (n - 1)-connected space Closed model category Homotopy category |
| Sumario: | For each integer n > 0, we give a distinct closed model category structure to the category of pointed spaces Top * such that the corresponding localized category Ho(Top * n) is equivalent to the standard homotopy category of (n - 1)-connected CW-complexes. The structure of closed model category given by Quillen to Top* is based on maps which induce isomorphisms on all homotopy group functors π q and for any choice of base point. For each n > 0, the closed model category structure given here takes as weak equivalences those maps that for the given base point induce isomorphisms on π q for q ≥ n. ©1096 American Mathematical Society. |
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