Category:Definitions/Bounded Metric Spaces

This category contains definitions related to Bounded Metric Spaces.
Related results can be found in Category:Bounded Metric Spaces.

$M'$ is bounded (in $M$) if and only if:

$\exists a \in A, K \in \R: \forall x \in B: \map {d} {x, a} \le K$

That is, there exists an element of $A$ within a finite distance of all elements of $B$.