Oriented singular homology.
Projective objects in the category of chain complexes
Pullback and pushout squares in a special double category with connection
Relative cohomolgy of groups.
Resolutions of Modules Over the Steenrod Algebra and the Cassical Theory of Invariants.
Resolutions of unbounded complexes
Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras
We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].
Tensor products of spectra and localizations.
The branching nerve of HDA and the Kan condition.
The complex of words and Nakaoka stability.
The Extraordinary Derived Category.
The homotopy category of chain complexes is a homotopy category
The topological snake lemma and corona algebras.
Thin fillers in the cubical nerves of omega-categories.
Topological criteria for -formal arrangements.
Triangulated categories of periodic complexes and orbit categories
We investigate the triangulated hull of orbit categories of the perfect derived category and the bounded derived category of a ring concerning the power of the suspension functor. It turns out that the triangulated hull corresponds to the full subcategory of compact objects of certain triangulated categories of periodic complexes. This specializes to Stai and Zhao’s result on the finite dimensional algebra of finite global dimension. As the first application, if , are flat algebras over a commutative...
Une résolution injective des puissances symétriques tordues
Dans cet article, on construit une résolution injective explicite des puissances symétriques tordues dans la catégorie des foncteurs strictement polynomiaux. Cette construction généralise à toute caractéristique la construction donnée par Friedlander et Suslin en caractéristique 2.
О резольвентах, отвечающих замкнутому отображению