Differentiation in metric spaces

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How researchers see this paper

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Area Minimizing Discs in Metric Spaces (2015, methodology): “We refer to [15] for basics on ultralimits and to [40] for more about blow-ups and tangent cones.”
Geodesically complete spaces with an upper curvature bound (2018, result): “This differentiability just means, that compositions of any differentiable curve with F−1 has well-defined directions in all points, compare [Lyt04].”
Uniform convexity and smoothness, and their applications in Finsler geometry (2009, background): “(compare this with the properties (A) and (U ) in [16]).”