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authoradelon <22380201+adelon@users.noreply.github.com>2024-05-14 16:54:30 +0200
committeradelon <22380201+adelon@users.noreply.github.com>2024-05-14 16:54:30 +0200
commita583eaa4ed6ba4d65dee96f6fa01106cfef5dd78 (patch)
tree115b6f002c0e11c34fe864c88cea5ce51ac7dc75 /library/topology/basis.tex
parente89c483a06f16cfd1e6a1c472c06e70854058654 (diff)
Update basis.tex
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diff --git a/library/topology/basis.tex b/library/topology/basis.tex
index dda187c..bca42f0 100644
--- a/library/topology/basis.tex
+++ b/library/topology/basis.tex
@@ -43,3 +43,8 @@
for all $U, V, x$ such that $U, V\in B$ and $x\in U,V$
there exists $W\in B$ such that $x\in W\subseteq U, V$.
\end{definition}
+
+\begin{definition}\label{genOpens}
+ $\genOpens{B}{X} = \{ U\in\pow{X} \mid for all $x\in U$ there exists $V\in B$
+ such that $x\in V\subseteq U$\}$.
+\end{definition}