Added measurability in separable metric spaces.

This commit is contained in:
Bokuan Li
2026-01-21 16:03:50 -05:00
parent c6796d2cc1
commit 0b24ab616f
15 changed files with 376 additions and 5 deletions

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@@ -63,7 +63,7 @@
\begin{definition}[Dense]
\label{definition:dense}
Let $X$ be a topologicial space and $A \subset X$, then the following are equivalent:
Let $X$ be a topological space and $A \subset X$, then the following are equivalent:
\begin{enumerate}
\item $\ol{A} = X$.
\item For every $\emptyset \ne U \subset X$ open, $A \cap U \ne \emptyset$.