LS-catégorie de CW-complexes à 3 cellules en théorie homotopique R-locale

Autores: Hans Scheerer, Daniel Tanré
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 2, 1997, págs. 563-576
Idioma: francés
DOI: 10.5565/publmat_41297_19
Títulos paralelos:
- LS-categoría de CW-complejos con 3 células en teoría homotópica R-local
- LS-category of CW-complexes with three cells in R-local homotopy theory
Enlaces
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Resumen
- We study the Lusternik-Schnirelmann category of some CW-complexes with 3 cells, built on $Y=S^{2n}\cup_{k[\iota_{2n},\iota_{2n}]}e^{4n}$. In particular, we prove that an $R$-local space, in the sense of D. Anick, of LS-category 3 and of the homotopy type of a CW-complex with 3 $R$-cells, has a cup-product of length 3 in its algebra of cohomology. This result is no longer true in the framework of mild spaces.