Abstract
Injective hull is a useful construction that provides a canonical choice of a specially nice (injective) space that includes a given metric space. This construction is similar to the convex hull in Euclidean space. The following exercise gives a bridge from the latter to the former.
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Notes
- 1.
In this case, \(\mathcal {A}\) must be closed, but we will not use it.
References
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Petrunin, A. (2023). Injective Spaces. In: Pure Metric Geometry. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-031-39162-0_3
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