Quillen stratification for the Steenrod algebra.
Quillen's theory for algebraic models of n-types.
Quotient models of a category up to directed homotopy.
Quotients of unital -categories.
R-Acyclicité.
Ranges of -homogeneous operators and their perturbations
Rank-2 Vector Bundles on a Ruled Surface. I.
Rank-2 Vector Bundles on a Ruled Surface II.
Rational acyclic resolutions.
Rational BV-algebra in string topology
Let be a 1-connected closed manifold of dimension and be the space of free loops on . M.Chas and D.Sullivan defined a structure of BV-algebra on the singular homology of , . When the ring of coefficients is a field of characteristic zero, we prove that there exists a BV-algebra structure on the Hochschild cohomology which extends the canonical structure of Gerstenhaber algebra. We construct then an isomorphism of BV-algebras between and the shifted homology . We also prove that the...
Rational category of the space of sections of a nilpotent bundle.
Rational Co-H-Spaces.
Rational evalutation subgroups.
Rational fibrations homogeneous spaces with positive Euler characteristics and Jacobians
We show that an orientable fibration whose fiber has a homotopy type of homogeneous space with rank is totally non homologous to zero for rational coefficients. The Jacobian formed by invariant polynomial under the Weyl group of plays a key role in the proof. We also show that it is valid for mod. coefficients if does not divide the order of the Weyl group of .
Rational fibrations in differential homological algebra.
Rational formality of function spaces.
Rational homotopy of Serre fibrations
In rational homotopy theory, we show how the homotopy notion of pure fibration arises in a natural way. It can be proved that some fibrations, with homogeneous spaces as fibre are pure fibrations. Consequences of these results on the operation of a Lie group and the existence of Serre fibrations are given. We also examine various measures of rational triviality for a fibration and compare them with and whithout the hypothesis of pure fibration.
Rational Hopf G-spaces with two nontrivial homotopy group systems
Let G be a finite group. We prove that every rational G-connected Hopf G-space with two nontrivial homotopy group systems is G-homotopy equivalent to an infinite loop G-space.
Rational intersection cohomology of quotient varieties. II.
Rational Lie Algebras and p-Isomorphisms of Nilpotent Groups and Homotopy Types.