diff --git a/src/fa/lc/convex.tex b/src/fa/lc/convex.tex index 934ba2b..8a738ce 100644 --- a/src/fa/lc/convex.tex +++ b/src/fa/lc/convex.tex @@ -140,7 +140,7 @@ \end{enumerate} The topology induced by $\seqi{d}$ is the \textbf{vector space topology induced by} $\seqi{[\cdot]}$. In addition, \begin{enumerate} - \item[(U)] For any family $\seqj{[\cdot]}$ of seminorms continuous on $E$, the vector space topology induced by $\seqj{[\cdot]}$ is contained in the vector space topology induced by $\seqi{[\cdot]}$. + \item[(U)] For any family $\bracsn{[\cdot]_j}_{j \in J}$ of continuous seminorms on $E$, the vector space topology induced by $\bracsn{[\cdot]_j}_{j \in J}$ is contained in the vector space topology induced by $\seqi{[\cdot]}$. \end{enumerate} \end{definition}