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Zheyuan Wu
2026-02-03 14:59:32 -06:00
parent e69362ce3c
commit 8f2e613b36
5 changed files with 74 additions and 2 deletions
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content/Math4201/Math4201_L4.md
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@@ -27,7 +27,7 @@ $$
Let $(X,\mathcal{T})$ be a topological space. Let $\mathcal{C}\subseteq \mathcal{T}$ be a collection of subsets of $X$ satisfying the following property:
$$
\forall U\in \mathcal{T}, \exists C\in \mathcal{C} \text{ such that } U\subseteq C
\forall U\in \mathcal{T}, \exists C\in \mathcal{C} \text{ such that } C\subseteq U
$$
Then $\mathcal{C}$ is a basis and the topology generated by $\mathcal{C}$ is $\mathcal{T}$.