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