Polish correction.

This commit is contained in:
Bokuan Li
2026-06-28 12:04:51 -04:00
parent 55bd2e4859
commit bbff684bd1

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@@ -53,7 +53,7 @@
\label{proposition:metric-measurable-limit}
Let $(X, \cm)$ be a measurable space, $Y$ be a metrisable topological space, and $\seq{f_n}$ be $(\cm, \cb_Y)$-measurable functions, then:
\begin{enumerate}
\item If $Y$ is completely metrisable, then $\bracsn{\limv{n}f_n \text{ exists}} \in \cm$.
\item If $Y$ is Polish, then $\bracsn{\limv{n}f_n \text{ exists}} \in \cm$.
\item If $f = \limv{n}f_n$ exists, then it is $(\cm, \cb_Y)$-measurable.
\end{enumerate}
\end{proposition}