## Name for metric spaces with useful unique-ball-intersection property?

When dealing with the problem of extending a Lipschitz function f:A→Y between metric spaces across an inclusion A↪X, one often imposes (conditions which imply) the following property on the target space Y. I’d like to know if this property has a name. Let me describe our property: there exists a uniform bound d∈(0,∞) so that … Read more