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More minor adjustments.
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Bokuan Li
2026-06-28 23:11:52 -04:00
parent 35be74f8af
commit 17154547df
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src/measure/measurable-maps/approx.tex
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@@ -121,7 +121,7 @@
\[ \[
f_N(x) \in \mathcal{A}(f(x)) \cap \bracsn{y_n|1 \le n \le N} f_N(x) \in \mathcal{A}(f(x)) \cap \bracsn{y_n|1 \le n \le N}
\] \]
\item[(ii)] $d(f_n, f) \downto 0$ pointwise as $n \to \infty$. \item[(ii)] $f_n \to f$ pointwise as $n \to \infty$.
\end{enumerate} \end{enumerate}
\item There exists a sequence $\seq{f_n}$ of $(\cm, \cb_Y)$-measurable simple functions such that $f_n \to f$ pointwise. \item There exists a sequence $\seq{f_n}$ of $(\cm, \cb_Y)$-measurable simple functions such that $f_n \to f$ pointwise.