The equivalence of -groupoids and crossed complexes
The exact sequence in the homology of groups with integral coefficients modulo associated to two normal subgroups
The Extraordinary Derived Category.
The Formal Dimension of a Toplogical Space.
The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties
The Hochschild cohomology ring of the singular cochain algebra of a space
We determine the algebra structure of the Hochschild cohomology of the singular cochain algebra with coefficients in a field on a space whose cohomology is a polynomial algebra. A spectral sequence calculation of the Hochschild cohomology is also described. In particular, when the underlying field is of characteristic two, we determine the associated bigraded Batalin-Vilkovisky algebra structure on the Hochschild cohomology of the singular cochain on a space whose cohomology is an exterior algebra....
The Homological Dimension of an Abelian Group as a Module over its Ring of Endomorphisms. III.
The Homological Dimension of an Abelian Group as a Module over Its Ring of Endomorphisms. II.
The homological theory of maximal Cohen-Macaulay approximations
The homotopy category of chain complexes is a homotopy category
The Künneth Formula in Cyclic Homology.
The left derived tensor product of valued diagrams
The local integration of Leibniz algebras
This article gives a local answer to the coquecigrue problem for Leibniz algebras, that is, the problem of finding a generalization of the (Lie) group structure such that Leibniz algebras are the corresponding tangent algebra structure. Using links between Leibniz algebra cohomology and Lie rack cohomology, we generalize the integration of a Lie algebra into a Lie group by proving that every Leibniz algebra is isomorphic to the tangent Leibniz algebra of a local Lie rack. This article ends with...
The low-dimensional homology of crossed modules.
The relative dihedral homology of involutive algebras.
The shift functor and the comprehensive factorization for internal groupoids
The split building of a reductive group.
The topological snake lemma and corona algebras.
The Transfer in Homological Algebra.
The two-square lemma.
A new proof is given of the connecting homomorphism.