Polished A-A and added new lines for broken enumerates.
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Bokuan Li
2026-05-05 01:50:35 -04:00
parent 47a7e1de68
commit 0f2e69d1f9
81 changed files with 441 additions and 185 deletions

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@@ -12,7 +12,8 @@
\begin{enumerate}
\item For any $U \subset Y$, $U$ is open if and only if $\pi^{-1}(U)$ is open.
\item $\pi \in C(X; Y)$, and for any $U \subset X$ saturated and open, $\pi(U)$ is open.
\end{enumerate}
\end\{enumerate\}
If the above holds, then $\pi$ is a \textbf{quotient map}.
\end{definition}
\begin{proof}
@@ -37,7 +38,8 @@
\]
\item $\pi$ is a quotient map.
\end{enumerate}
\end\{enumerate\}
The space $(\td X, \pi)$ is the \textbf{quotient} of $X$ by $\sim$.
\end{definition}
\begin{proof}