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INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS

INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS

Injective metric spaces, or absolute 1-Lipschitz retracts, share a number of properties with CAT(0) spaces. In the '60s Isbell showed that every metric space X has an injective hull E (X). Here it is proved that if X is the vertex set of a connected locally finite graph with a …