Local cohomology functors are constructed for the category of cohomological functors on an essentially small triangulated category ⊺ equipped with an action of a commutative noetherian ring. This is used to establish a local-global principle and to develop a notion of stratification, for ⊺ and the cohomological functors on it, analogous to such concepts for compactly generated triangulated categories.
|Number of pages||26|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Early online date||2 Mar 2015|
|Publication status||Published - May 2015|