Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/11177
Título: | Joins of DGA modules and sectional category |
Autor(es): | Fernández Suárez, Lucía Ghienne, Pierre Kahl, Thomas Vandembroucq, Lucile |
Palavras-chave: | Lusternik–Schnirelmann category Sectional category Topological complexity Sullivan models |
Data: | 24-Fev-2006 |
Editora: | Geometry & Topology Publications |
Revista: | Algebraic & Geometric Topology |
Citação: | "Algebraic & Geometric Topology". ISSN 1472-2739. 6 (Febr. 2006) 119-144. |
Resumo(s): | We construct an explicit semifree model for the fiber join of two fibrations p: E → B and p′: E′→ B from semifree models of p and p′. Using this model, we introduce a lower bound of the sectional category of a fibration p which can be calculated from any Sullivan model of p and which is closer to the sectional category of p than the classical cohomological lower bound given by the nilpotency of the kernel of p∗: H∗(B; ℚ) → H∗(E; ℚ). In the special case of the evaluation fibration XI → X × X we obtain a computable lower bound of Farber’s topological complexity TC(X). We show that the difference between this lower bound and the classical cohomological lower bound can be arbitrarily large. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/11177 |
DOI: | 10.2140/agt.2006.6.119 |
ISSN: | 1472-2739 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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mtc301005FS.pdf | Documento principal | 316,86 kB | Adobe PDF | Ver/Abrir |