@MartinSleziak The metric-spaces tag is a good fit, I agree entirely. I have no idea whether dimension theory would be a good fit or not, since I am not really familiar with that field. All I know is that the "metric dimension" definition given above doesn't really seem to be related to either Lebesgue topological dimension or Hausdorff dimension, so if those are what is studied by dimension theory (again, I have no idea), then I wouldn't want to annoy those people by tagging this unrelated question. —
Chill2Macht 36 secs ago
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 "metric dimension" $n \in \mathbb{N}$ if there exists a minimal (in terms of cardinality) me...
