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Metric Curvature Revisited - A Brief Overview
We survey metric curvatures, special accent being placed upon the Wald curvature, its relationship with Alexandov curvature, as well as its application in defining a metric Ricci curvature for $PL$ cell complexes and a metric Ricci flow for PL surfaces. In addition, a simple, metric way of defining curvature for metric measure spaces is proposed.