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).