Replaced references to upward-directed families with ideals.

src/topology/notation.tex

@@ -17,7 +17,7 @@
     $U \circ V$ & Composition of $U, V \subset X \times X$. & \autoref{definition:composition} \\
     $U(A)$ & Slice of $U \subset X \times Y$ at $A \subset X$: $\{y \mid \exists x \in A,\, (x,y) \in U\}$. & \autoref{definition:slice} \\
     $E(S, U)$ & Entourage of the form $\{(f,g) \in X^T \mid (f(x),g(x)) \in U\ \forall x \in S\}$. & \autoref{definition:set-uniform} \\
-    $\mathfrak{E}(\mathfrak{S}, \mathfrak{U})$ & $\mathfrak{S}$-uniformity, generated by $\{E(S,U) \mid S \in \mathfrak{S},\ U \in \mathfrak{U}\}$. & \autoref{definition:set-uniform} \\
+    $\mathfrak{E}(\sigma, \mathfrak{U})$ & $\sigma$-uniformity, generated by $\{E(S,U) \mid S \in \sigma,\ U \in \mathfrak{U}\}$. & \autoref{definition:set-uniform} \\
 
     % Function Spaces
     $\mathrm{supp}(f)$ & Support of $f$. & \autoref{definition:support} \\