diff --git a/src/measure/measurable-maps/metric.tex b/src/measure/measurable-maps/metric.tex index 5cb0539..315f25c 100644 --- a/src/measure/measurable-maps/metric.tex +++ b/src/measure/measurable-maps/metric.tex @@ -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}