Typo fix.

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Bokuan Li
2026-01-21 10:16:57 -05:00
parent a1f2477dcf
commit 9caac1c499

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@@ -6,7 +6,7 @@
Let $X$ be a topological space, then the following are equivalent: Let $X$ be a topological space, then the following are equivalent:
\begin{enumerate} \begin{enumerate}
\item For each $x \in X$ and $A \subset X$ closed with $x \not\in A$, there exists $U \in \cn(x)$ and $V \in \cn(A)$ such that $U \cap V = \emptyset$. \item For each $x \in X$ and $A \subset X$ closed with $x \not\in A$, there exists $U \in \cn(x)$ and $V \in \cn(A)$ such that $U \cap V = \emptyset$.
\item For each $x \in X$, the closed neighbourhoods of $x$ forms a fundamantal system of neighbourhoods at $x$. \item For each $x \in X$, the closed neighbourhoods of $x$ forms a fundamental system of neighbourhoods at $x$.
\end{enumerate} \end{enumerate}
If $X$ is a T1 space such that the above holds, then $X$ is \textbf{regular}. If $X$ is a T1 space such that the above holds, then $X$ is \textbf{regular}.
\end{definition} \end{definition}