Used "separated" instead of Hausdorff in the context of topological vector spaces.

This commit is contained in:
Bokuan Li
2026-05-01 13:32:08 -04:00
parent caf7790b15
commit 3077563278
6 changed files with 8 additions and 8 deletions

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@@ -5,7 +5,7 @@
\label{definition:tvs-completion}
Let $E$ be a TVS over $K \in \RC$, then there exists $(\wh E, \iota)$ such that:
\begin{enumerate}
\item $\wh E$ is a complete Hausdorff TVS.
\item $\wh E$ is a complete separated TVS.
\item $\iota \in L(E; \wh E)$.
\item[(U)] For any $(F, T)$ satisfying (1) and (2), there exists a unique $\ol{T} \in L(\wh E; F)$ such that the following diagram commutes:
\end{enumerate}