Typo fix.
All checks were successful
Compile Project / Compile (push) Successful in 38s

This commit is contained in:
Bokuan Li
2026-05-25 17:16:54 -04:00
parent 719e9a1f7a
commit 964cb2450a
3 changed files with 18 additions and 1 deletions

View File

@@ -3,6 +3,10 @@
{
"label": "Watch",
"task": "Watch"
},
{
"label": "Conservative Watch",
"task": "Conservative"
}
],
"latex.linting.enabled": false,

13
.vscode/tasks.json vendored
View File

@@ -39,6 +39,19 @@
}
}
}
},
{
"label": "Conservative",
"type": "shell",
"command": "npx spec watch --conservative",
"windows": {
"options": {
"shell": {
"executable": "cmd.exe",
"args": ["/d", "/c"]
}
}
}
}
]
}

View File

@@ -38,7 +38,7 @@
\item If $\mathfrak{E}(\sigma, \fU)$ forms a fundamental system of entourages for $\fV$.
\end{enumerate}
The uniformity $\fV$ is the \textbf{$\sigma$-uniformity}, and the topology induced by $\fV$ is the \textbf{topology of uniform convergence on the sets $\sigma$}/\textbf{$\sigma$-uniform topology} on $X^T$.
The uniformity $\fV$ is the \textbf{$\sigma$-uniformity}, and the topology induced by $\fV$ is the \textbf{topology of uniform convergence $\sigma$}, or the \textbf{$\sigma$-uniform topology} on $X^T$.
\end{definition}
\begin{proof}
(1): Since $\Delta \subset E(S, U)$ for all $S \in \sigma$ and $U \in \fU$, $\mathfrak{E}(\sigma, \fU)$ generates a uniformity on $X^T$.