-space structure on pointed mapping spaces.
Homomorphic images and rationalizations based on the Eilenberg-MacLane spaces
Are there any kinds of self maps on the loop structure whose induced homomorphic images are the Lie brackets in tensor algebra? We will give an answer to this question by defining a self map of , and then by computing efficiently some self maps. We also study the topological rationalization properties of the suspension of the Eilenberg-MacLane spaces. These results will be playing a powerful role in the computation of the same -type problems and giving us an information about the rational homotopy...
Homotopie des espaces de concordances
Homotopie rationnelle et croissance du nombre de géodésiques fermées
Homotopy Lie algebra of classifying spaces for hyperbolic coformal 2-cones.
Homotopy Lie algebras; lower central series and the Koszul property.
Hopf algebras up to homotopy and the Bockstein spectral sequence.