Publicação
Simplicial resolutions and Ganea fibrations
| Resumo: | In this work, we compare two approximations of a path- connected space X: the one given by the Ganea spaces Gn (X) and the one given by the realizations Λ• X n of the trun- cated simplicial resolutions induced by the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps Λ• X n−1 → Gn (X) → Λ• X n over X, up to homo- topy. In the case n = 2, we also prove the existence of a map G2 (X) → Λ• X 1 over X (up to homotopy). |
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| Autores principais: | Kahl, Thomas |
| Outros Autores: | Scheerer, Hans; Tanré, Daniel; Vandembroucq, Lucile |
| Assunto: | Simplicial spaces Lusternik-Schnirelmann category |
| Ano: | 2008 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | In this work, we compare two approximations of a path- connected space X: the one given by the Ganea spaces Gn (X) and the one given by the realizations Λ• X n of the trun- cated simplicial resolutions induced by the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps Λ• X n−1 → Gn (X) → Λ• X n over X, up to homo- topy. In the case n = 2, we also prove the existence of a map G2 (X) → Λ• X 1 over X (up to homotopy). |
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