Intermediate co-t-structures, two-term silting objects, τ-tilting modules, and torsion classes

If (A, B) and (A ', B') are co-t-structures of a triangulated category, then (A ', B ') is called intermediate if A subset of A ' subset of Sigma A. Our main results show that intermediate co-t-structures are in bijection with two-term silting subcategories, and also with support tau - tilting subcategories under some assumptions. We also show that support tau - tilting subcategories are in bijection with certain finitely generated torsion classes. These results generalise work by Adachi, Iyama, and Reiten.