Definition:Path-Connected/Metric Space

Definition
Let $M = \struct {A, d}$ be a metric space.

$M$ is defined as path-connected :
 * $\forall m, n \in A: \exists f: \closedint 0 1 \to A: \map f 0 = m, \map f 1 = n$

where $f$ is a continuous mapping.