jerrylicious/garden
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

Polish correction.

Browse Source
This commit is contained in:
Bokuan Li
2026-06-28 12:04:51 -04:00
parent 55bd2e4859
commit bbff684bd1
1 changed files with 1 additions and 1 deletions
Download Patch File Download Diff File Expand all files Collapse all files

2
src/measure/measurable-maps/metric.tex
View File

@@ -53,7 +53,7 @@
\label{proposition:metric-measurable-limit} \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: 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} \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. \item If $f = \limv{n}f_n$ exists, then it is $(\cm, \cb_Y)$-measurable.
\end{enumerate} \end{enumerate}
\end{proposition} \end{proposition}