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DerivedAlgGeo.CategoryTheory.Triangulated.StabilityCondition.Metric

Metric geometry of stability conditions #

Stability distance, isometries, topology, and Hausdorff separation of the stability space.

Harder--Narasimhan mass is not here. It is the sibling StabilityCondition/Mass/: mass is an invariant of an object and a stability condition, and it has consumers besides this metric -- the mass--Hom estimates under StabilityCondition/MassHom/ are one. The distance construction is downstream of mass, so the leaves below import the mass API they use (Metric/Distance/Basic.lean and Metric/Hausdorff.lean do) and this umbrella does not re-export a sibling root. MO1.13 (#1324).