Tags: #todo #lie-theory #homotopy/stable-homotopy
triangulated categories
Notes
- Triangulated categories are the homotopy categories of *stable* model categories (or of stable ∞-categories), meaning the suspension functor is invertible.
triangulated categories
-
mixed characteristic
The functor \(R\mapsto \mathbf{D} { {}_{R}{\mathsf{Mod}} } { {}_{ \widehat{I} } }\) into the derived category of \(I{\hbox{-}}\)complete \(R{\hbox{-}}\)complexes is a stacks MOC for the flat topology, which does not hold at the level of triangulated categories.
- compact object of a category