L. S. catégorie et suite spectrale de Milnor-Moore. (Une nuit dans le train)
LS category of classifying spaces and 2-cones.
LS-catégorie de CW-complexes à 3 cellules en théorie homototique R-locale.
We study the Lusternik-Schnirelmann category of some CW-complexes with 3 cells, built on Y = S2n Uk[i2n,i2n] e4n. 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.
LS-category of classifying spaces.
LS-category of classifying spaces. II.
Lusternik-Schnirelmann category: a geometric approach
Lusternik-Schnirelmann category and minimal coverings with contractible sets.
Lusternik-Schnirelmann Category and the Moore Spectral Sequence.
Lusternik-Schnirelmann-categorical sections