If and are co--structures of a triangulated category, then is called intermediate if . Our main results show that intermediate co--structures are in bijection with two-term silting subcategories, and also with support -tilting subcategories under some assumptions. We also show that support -tilting subcategories are in bijection with certain finitely generated torsion classes. These results generalise work by Adachi, Iyama, and Reiten.
"Intermediate co-$t$-structures, two-term silting objects, $\tau$-tilting modules, and torsion classes." Algebra Number Theory 8 (10) 2413 - 2431, 2014. https://doi.org/10.2140/ant.2014.8.2413