Definition:Topologically Equivalent Metrics

Definition
Let $M_1 = \struct {A, d_1}$ and $M_2 = \struct {A, d_2}$ be metric spaces on the same underlying set $A$.

Also see

 * Equivalence of Definitions of Topologically Equivalent Metrics


 * Topological Equivalence is Equivalence Relation


 * Definition:Homeomorphism (Metric Spaces)