diff --git a/.vscode/settings.json b/.vscode/settings.json index 1546a19..469687c 100644 --- a/.vscode/settings.json +++ b/.vscode/settings.json @@ -3,6 +3,10 @@ { "label": "Watch", "task": "Watch" + }, + { + "label": "Conservative Watch", + "task": "Conservative" } ], "latex.linting.enabled": false, diff --git a/.vscode/tasks.json b/.vscode/tasks.json index 5736d5f..3e378ec 100644 --- a/.vscode/tasks.json +++ b/.vscode/tasks.json @@ -39,6 +39,19 @@ } } } + }, + { + "label": "Conservative", + "type": "shell", + "command": "npx spec watch --conservative", + "windows": { + "options": { + "shell": { + "executable": "cmd.exe", + "args": ["/d", "/c"] + } + } + } } ] } \ No newline at end of file diff --git a/src/topology/functions/set-systems.tex b/src/topology/functions/set-systems.tex index 71b5a90..4993866 100644 --- a/src/topology/functions/set-systems.tex +++ b/src/topology/functions/set-systems.tex @@ -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 $X^T$.