Displaying similar documents to “Catégories, complexes et homotopie”

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

Hans Scheerer, Daniel Tanré (1997)

Publicacions Matemàtiques

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We study the Lusternik-Schnirelmann category of some CW-complexes with 3 cells, built on Y = S U e. 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.