Intermediate Co-t-structures, Two-term Silting Objects, Τ-tilting Modules, and Torsion Classes
نویسندگان
چکیده
If (A,B) and (A′,B′) are co-t-structures of a triangulated category, then (A′,B′) is called intermediate if A ⊆ A′ ⊆ ΣA. Our main results show that intermediate co-t-structures are in bijection with two-term silting subcategories, and also with support τ -tilting subcategories under some assumptions. We also show that support τ -tilting subcategories are in bijection with certain finitely generated torsion classes. These results generalise work by Adachi, Iyama, and Reiten.
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