Definition 6.3.7 (Equivalent Pseudometrics).label Let $X$ be a set and $\seqi{d}, \seqj{d}$ be pseudometrics on $X$, then $\seqi{d}$ and $\seqj{d}$ are equivalent if their induced uniformities coincide.
Definition 6.3.7 (Equivalent Pseudometrics).label Let $X$ be a set and $\seqi{d}, \seqj{d}$ be pseudometrics on $X$, then $\seqi{d}$ and $\seqj{d}$ are equivalent if their induced uniformities coincide.