Enriched functors and stable homotopy theory.
Enriched model categories and an application to additive endomorphism spectra.
Ensembles profinis simpliciaux et interprétation géométrique du foncteur
Epimorphic covers make a site, for profinite .
Equilogical spaces, homology and non-commutative geometry
Equivalences of monoidal model categories.
Equivariant weak -equivalences.
E...-spaces and injective ...-spaces.
Explicit cogenerators for the homotopy category of projective modules over a ring
Let be a ring. In two previous articles [12, 14] we studied the homotopy category of projective -modules. We produced a set of generators for this category, proved that the category is -compactly generated for any ring , and showed that it need not always be compactly generated, but is for sufficiently nice . We furthermore analyzed the inclusion and the orthogonal subcategory . And we even showed that the inclusion has a right adjoint; this forces some natural map to be an equivalence...
Extension categories and their homotopy
Extensions of hom-Lie algebras in terms of cohomology
We study (non-abelian) extensions of a given hom-Lie algebra and provide a geometrical interpretation of extensions, in particular, we characterize an extension of a hom-Lie algebra by another hom-Lie algebra and discuss the case where has no center. We also deal with the setting of covariant exterior derivatives, Chevalley derivative, Maurer-Cartan formula, curvature and the Bianchi identity for the possible extensions in differential geometry. Moreover, we find a cohomological obstruction...
Fibrations in the Category of Absolute Neighborhood Retracts
The category Top of topological spaces and continuous maps has the structures of a fibration category and a cofibration category in the sense of Baues, where fibration = Hurewicz fibration, cofibration = the usual cofibration, and weak equivalence = homotopy equivalence. Concentrating on fibrations, we consider the problem: given a full subcategory 𝓒 of Top, is the fibration structure of Top restricted to 𝓒 a fibration category? In this paper we take the special case where 𝓒 is the full subcategory...
Finite sets and symmetric simplicial sets.
Finite simplicial multicomplexes.
Flag-symmetric and locally rank-symmetric partially ordered sets.
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.
Formal groups and stable homotopy of commutative rings.
Formule di Künneth per la coomologia a valori in un fascio
Free -categories.
Free crossed resolutions from simplicial resolutions with given -basis