Exact sequences and closed model categories
For every closed model category with zero object, Quillen gave the construction of Eckman-Hilton and Puppe sequences. In this paper, we remove the hypothesis of the existence of zero object and construct (using the category over the initial object or the category under the final object) these sequen...
| Autores: | , , |
|---|---|
| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2010 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositório: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6963b750603269e81a4f |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc6963b750603269e81a4f |
| Access Level: | Acceso aberto |
| Palavra-chave: | Brown-grossman homotopy group Cofibration sequence Exterior space Fibration sequence Group cohomology Model category with non-zero object Proper homotopy Quillen model category Shape theory Steenrod homotopy group |
| Resumo: | For every closed model category with zero object, Quillen gave the construction of Eckman-Hilton and Puppe sequences. In this paper, we remove the hypothesis of the existence of zero object and construct (using the category over the initial object or the category under the final object) these sequences for unpointed model categories. We illustrate the power of this result in abstract homotopy theory given some interesting applications to group cohomology and exterior homotopy groups. |
|---|