Silting subcategories restrict t-structures exactly when contravariantly finite in completions, yielding a categorical characterization of right coherent rings and extending Koenig-Yang correspondences to metric triangulated categories.
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Metrics on triangulated categories and restrictions of (co)-$t$-structures
Silting subcategories restrict t-structures exactly when contravariantly finite in completions, yielding a categorical characterization of right coherent rings and extending Koenig-Yang correspondences to metric triangulated categories.