Metric spaces with unique tangents
classification
🧮 math.MG
math.GR
keywords
tangentsmetricspacesuniqueanalogueappearcarnotdoubling
read the original abstract
We are interested in studying doubling metric spaces with the property that at some of the points the metric tangent is unique. In such a setting, Finsler-Carnot-Caratheodory geometries and Carnot groups appear as models for the tangents. The results are based on an analogue for metric spaces of Preiss's phenomenon: tangents of tangents are tangents.
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