Progress over the past week.

This commit is contained in:
Bokuan Li
2026-01-05 20:10:39 -05:00
parent e8d394a2ac
commit abbed78434
33 changed files with 878 additions and 25 deletions

View File

@@ -54,7 +54,7 @@
Conversely, if $\cb \subset 2^X$ is a family such that:
\begin{enumerate}
\item[(TB1)] For every $x \in X$, there exists $U \in \cb$ such that $x \in U$.
\item[(TB2)] For every $x \in X$ and $U, V \in \cb$ such that $x \in U \cap$, there exists $W \in \cb$ such that $x \in W \subset U \cap V$.
\item[(TB2)] For every $x \in X$ and $U, V \in \cb$ such that $x \in U \cap V$, there exists $W \in \cb$ such that $x \in W \subset U \cap V$.
\end{enumerate}
then $\topo(\cb)$ is a topology on $X$, and $\cb$ is a base for $\topo(\cb)$.
\end{definition}