Transitive actions on Hopf homogeneous spaces.
Eine Bemerkung zur Stabilität von Entfaltungen.
Arithmeticity of Groups of Fibre Homotopy Equivalence Classes.
Idempotente Multiplikationen.
The Milnor-Moore theorem in Tame Homotopy theory.
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 = 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.
Exploring W.G. Dwyer's tame homotopy theory.
Let S be the category of r-reduced simplicial sets, r ≥ 3; let L be the category of (r-1)-reduced differential graded Lie algebras over Z. According to the fundamental work [3] of W.G. Dwyer both categories are endowed with closed model category structures such that the associated tame homotopy category of S is equivalent to the associated homotopy category of L. Here we embark on a study of this equivalence and its implications. In particular, we show how to compute homology, cohomology, homotopy...
Ganea fibrations. (Fibrations à la Ganea.)
Page 1