Finiteness properties of self-equivalence.
Five-dimensional biquotients.
Fixed points and homotopy fixed points.
Foncteurs polynomiaux et foncteurs de Mackey non linéaires
On décrit les foncteurs polynomiaux, des groupes abéliens libres vers les groupes abéliens, comme des diagrammes de groupes abéliens dont on explicite les relations.
Formalité des espaces de lacets libres
Formality and the Lefschetz property in symplectic and cosymplectic geometry
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the Kähler/symplectic situation) and the b1 = 1 case (in the coKähler/cosymplectic situation).
Formality of the function space of free maps into an elliptic space
Free -categories.
Free actions on products of spheres: The rational case.
Free Quillen factorization systems.
Freudenthal-Invariante.
Function spaces and Hurwitz-Radon numbers.
Function spaces and shape theories
The purpose of this paper is to provide a geometric explanation of strong shape theory and to give a fairly simple way of introducing the strong shape category formally. Generally speaking, it is useful to introduce a shape theory as a localization at some class of “equivalences”. We follow this principle and we extend the standard shape category Sh(HoTop) to Sh(pro-HoTop) by localizing pro-HoTop at shape equivalences. Similarly, we extend the strong shape category of Edwards-Hastings to sSh(pro-Top)...
Functors between homotopy theories
Fundamental Groups, ...-groups and Codimension two Submanifolds