Every n-cotorsion pair on a triangulated category has a heart that is an abelian n-truncated category, carrying compatible pretriangulated and extriangulated structures.
General heart construction on a triangulated category (
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Extended heart construction (I): The heart of $n$-cotorsion pairs on triangulated categories
Every n-cotorsion pair on a triangulated category has a heart that is an abelian n-truncated category, carrying compatible pretriangulated and extriangulated structures.