When does a metric space have "infinite metric dimension"? (Definition of metric dimension) – mathoverflow.net

When does a metric space have "infinite metric dimension"? (Definition of metric dimension) – mathoverflow.net

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Definition 1 A subset $B$ of a metric space $(M,d)$ is called a metric basis for $M$ if and only if $$\forall b \in B,\,d(x,b)=d(y,b) \implies x = y \,.$$ Definition 2 A metric space $(M,d)$ has ...

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