A Leibniz algebra structure on the second tensor power.
A Norm for Modules and Algebras.
A Vanishing Theorem in Homological Algebra
Abstract homotopy theory in procategories
Derivations of crossed modules.
Distributive laws and Koszulness
Distributive law is a way to compose two algebraic structures, say and , into a more complex algebraic structure . The aim of this paper is to understand distributive laws in terms of operads. The central result says that if the operads corresponding respectively to and are Koszul, then the operad corresponding to is Koszul as well. An application to the cohomology of configuration spaces is given.
Equivariant Cohomology and Stable Cohomotopy.
Equivariant Homology and Mackey Functors.
Exactitude à gauche du foncteur de cohomologie bornée réelle
Extension of topological homology theories to partially orderd sets.
Extensions of super Lie algebras.
Factorization systems for symmetric cat-groups.
Forms and mappings. I: Generalities
Galois theory and double central extensions.
G-functors, G-posets and homotopy decompositions of G-spaces
We describe a unifying approach to a variety of homotopy decompositions of classifying spaces, mainly of finite groups. For a group G acting on a poset W and an isotropy presheaf d:W → (G) we construct a natural G-map which is a (non-equivariant) homotopy equivalence, hence is a homotopy equivalence. Different choices of G-posets and isotropy presheaves on them lead to homotopy decompositions of classifying spaces. We analyze higher limits over the categories associated to isotropy presheaves...
Homological algebra and divergent series.
Homological perturbation theory and associativity.
Homology of -fold groupoids.
Homology theory in the alternative set theory I. Algebraic preliminaries
The notion of free group is defined, a relatively wide collection of groups which enable infinite set summation (called commutative -group), is introduced. Commutative -groups are studied from the set-theoretical point of view and from the point of view of free groups. Commutativity of the operator which is a special kind of inverse limit and factorization, is proved. Tensor product is defined, commutativity of direct product (also a free group construction and tensor product) with the special...
Intertwining operators over L1 (G) for G ? [PG] ? [SIN].