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authorSimon-Kor <52245124+Simon-Kor@users.noreply.github.com>2024-05-14 16:56:05 +0200
committerGitHub <noreply@github.com>2024-05-14 16:56:05 +0200
commitd7ba30d2bd4ecf87e4b962d2b9f2555fb7d59d1d (patch)
tree01582224947782980c03651d6dcfaf32c4b66fda /library/topology
parent63518b2e0bfdf0308fba30920a7a3bb7f61da994 (diff)
parent1f1b21b2ed868cad5e0ad11004790359f27639a0 (diff)
Merge branch 'adelon:main' into main
Diffstat (limited to 'library/topology')
-rw-r--r--library/topology/basis.tex5
1 files changed, 5 insertions, 0 deletions
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}