Parametrizing recollement data for triangulated categories

  title={Parametrizing recollement data for triangulated categories},
  author={Pedro Nicol{\'a}s and Manuel Saor{\'i}n},
Abstract We give a general parametrization of all the recollement data for a triangulated category with a set of generators. From this we deduce a characterization of when a ℵ 0 -perfectly generated (or aisled ) triangulated category is a recollement of triangulated categories generated by a single compact object. Also, we use homological epimorphisms to give a complete and explicit description of all the recollement data for (or smashing subcategories of) the derived category of a k -flat dg… CONTINUE READING