Examples
Examples of hyperconvex metric spaces include
- The real line
- Any vector space Rd with the L∞ distance
- Manhattan distance (L1) in the plane (which is equivalent up to rotation and scaling to the L∞), but not in higher dimensions
- The tight span of a metric space
- Any real tree
- Aim(X) – see Metric space aimed at its subspace
Due to the equivalence between hyperconvexity and injectivity, these spaces are all also injective.
Read more about this topic: Injective Metric Space
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