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fix typo and formatting errors

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Zheyuan Wu
2025-10-09 21:37:22 -05:00
parent 9734128293
commit f9c5889564
7 changed files with 130 additions and 25 deletions
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content/Math4201/Math4201_L5.md
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@@ -51,7 +51,7 @@ So the discrete topology is finer than the trivial topology.
Let $\mathcal{T}$ and $\mathcal{T}'$ be topologies on $X$ associated with bases $\mathcal{B}$ and $\mathcal{B}'$. Then
$$
\mathcal{T}\text{ is finer than } \mathcal{T}'\iff \text{ for any } B'\in \mathcal{B}', \exists B\in \mathcal{B} \text{ such that } B'\subseteq B
\mathcal{T}\text{ is finer than } \mathcal{T}'\iff \text{ for any } x\in X, x\in B'\in \mathcal{B}', \exists B\in \mathcal{B} \text{ such that } x\in B\subseteq B'
$$
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