Publicação
Relative category and monoidal topological complexity
| Resumo: | If a map f has a homotopy retraction, then Doeraene and El Haouari conjectured that the sectional category and the relative category of f are the same. In this work we discuss this conjecture for some lower bounds of these invariants. In particular, when we consider the diagonal map, we obtain results supporting Iwase-Sakai’s conjecture which asserts that the topological complexity is the monoidal topological complexity. |
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| Autores principais: | Carrasquel-Vera, J. G. |
| Outros Autores: | García Calcines, J. M.; Vandembroucq, Lucile |
| Assunto: | Sectional category Topological complexity Monoidal topological complexity |
| Ano: | 2014 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | If a map f has a homotopy retraction, then Doeraene and El Haouari conjectured that the sectional category and the relative category of f are the same. In this work we discuss this conjecture for some lower bounds of these invariants. In particular, when we consider the diagonal map, we obtain results supporting Iwase-Sakai’s conjecture which asserts that the topological complexity is the monoidal topological complexity. |
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