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...