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Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
<mark>Journal publication date</mark> | 31/07/2023 |
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<mark>Journal</mark> | Mathematical Proceedings of the Cambridge Philosophical Society |
Issue number | 1 |
Volume | 175 |
Number of pages | 18 |
Publication Status | Published |
Early online date | 10/03/23 |
<mark>Original language</mark> | English |
Let T be a triangulated category with shift functor Σ T→T. Suppose (A,B) is a co-t-structure with coheart S=ΣA⊂B and extended coheart C=Σ2A⊂B=S∗ΣS, which is an extriangulated category. We show that there is a bijection between co-t-structures (A',B') in T such that A⊂A'⊂ΣA and complete cotorsion pairs in the extended coheart C. In the case that T is Hom-finite, k-linear and Krull-Schmidt, we show further that there is a bijection between complete cotorsion pairs in C and functorially finite torsion classes in mod S.