Higher cospans and weak cubical categories (cospans in algebraic topology. I).
Higher fundamental functors for simplicial sets
Homology fibrations and “group-completion” revisited.
Homology groups and eight-term exact sequences
Homology groups of semicubical sets.
Homotopie de l'espace des équivalences d'homotopie fibrées
On construit une suite spectrale qui converge vers le bigradué associé à une filtration convenable des groupes d’homotopie du monoïde simplicial des équivalences d’homotopie fibrées d’un fibré de Kan dans lui-même. On obtient de nouveaux calculs de ces groupes. En particulier, on calcule le groupe des classes d’homotopie des équivalences d’homotopie d’un espace ayant trois groupes d’homotopie non nuls en dessous de sa dimension.
Homotopie des foncteurs en groupes.
Homotopy colimits and cohomology with local coefficients
Homotopy Inverses for Nerve.
Homotopy representability of Brauer groups.
The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.
Kan fibrations in the category of simplicial spaces
Kann fibrations which are homomorphisms of simplicial groups
LVMB manifolds and simplicial spheres
LVM and LVMB manifolds are a large family of non kähler manifolds. For instance, Hopf manifolds and Calabi-Eckmann manifolds can be seen as LVMB manifolds. The LVM manifolds have a natural action of a real torus and the quotient of this action is a polytope. This quotient allows us to relate closely LVM manifolds to the moment-angle manifolds studied by Buchstaber and Panov. Our aim is to generalize the polytope associated to a LVM manifold to the LVMB case and study the properties of this generalization....
Mappings of the sphere to a simply connected space.
Monotone-light factorization for Kan fibrations of simplicial sets with respect to groupoids.
Normalidad en realizaciones generalizadas (RY (X)).
Normalisation for the fundamental crossed complex of a simplicial set.
Normalizing the cyclic modules of Connes.
Note on homotopy pullbacks in abelian categories
On a theory of braided cochains in algebraic topology (Preliminary version). (Sur une théorie des cochaines tresses en topologie algébrique (Version préliminaire ).)