Fixed a handful of typos.

This commit is contained in:
Bokuan Li
2026-06-15 00:17:03 -04:00
parent 5b1e0f86e6
commit 9f05b9dabd
2 changed files with 3 additions and 3 deletions

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@@ -88,7 +88,7 @@
so $\nu$ is a vector measure.
Absolute continuity is equivalent to uniform continuity as a mapping $\cm_n \to E$, and uniform absolute continuity is equivalent to uniform equicontinuity as mappings $\cm \to E$. By the \hyperref[Arzelà-Ascoli Theorem]{theorem:arzela-ascoli}, $\nu \in UC(\cm_0; E)$, so $\nu \ll \mu$.
Absolute continuity is equivalent to uniform continuity as a mapping $\cm_0 \to E$, and uniform absolute continuity is equivalent to uniform equicontinuity as mappings $\cm_0 \to E$. By the \hyperref[Arzelà-Ascoli Theorem]{theorem:arzela-ascoli}, $\nu \in UC(\cm_0; E)$, so $\nu \ll \mu$.
\end{proof}