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If (A,B) and (A',B') are co-t-structures of a triangulated category, then(A',B') is called intermediate if A \subseteq A' \subseteq \Sigma A. Our mainresults show that intermediate co-t-structures are in bijection with two-termsilting subcategories, and also with support tau-tilting subcategories undersome assumptions. We also show that support tau-tilting subcategories are inbijection with certain finitely generated torsion classes. These generaliseresults by Adachi, Iyama, and Reiten.

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