From 76fb9b562f0101ab53124da5fd3a2feee2947455 Mon Sep 17 00:00:00 2001
From: Josia Pietsch <git@jrpie.de>
Date: Wed, 24 Apr 2024 13:18:59 +0200
Subject: [PATCH] fixed error

---
 inputs/lecture_16.tex | 9 +++++----
 1 file changed, 5 insertions(+), 4 deletions(-)

diff --git a/inputs/lecture_16.tex b/inputs/lecture_16.tex
index 39818f2..966eade 100644
--- a/inputs/lecture_16.tex
+++ b/inputs/lecture_16.tex
@@ -154,14 +154,15 @@ By Zorn's lemma, this will follow from
     Then there is another factor $(Z,T)$ of $(X,T)$
     which is a proper isometric extension of  $Y$.
 
-    % https://q.uiver.app/#q=WzAsMyxbMiwwLCIoWCxUKSJdLFswLDAsIihZLFQpIl0sWzEsMSwiKFosVCkiXSxbMSwwXSxbMiwwXSxbMSwyLCJcXHRleHR7aXNvbWV0cmljIGV4dGVuc2lvbn0iLDFdXQ==
+    % https://q.uiver.app/#q=WzAsMyxbMiwwLCIoWCxUKSJdLFswLDAsIihZLFQpIl0sWzEsMSwiKFosVCkiXSxbMCwxXSxbMCwyXSxbMiwxLCJcXHRleHR7aXNvbWV0cmljIGV4dGVuc2lvbn0iLDFdXQ==
 \[\begin{tikzcd}
 	{(Y,T)} && {(X,T)} \\
 	& {(Z,T)}
-	\arrow[from=1-1, to=1-3]
-	\arrow[from=2-2, to=1-3]
-\arrow["{\text{isometric extension}}"{description}, from=1-1, to=2-2]
+	\arrow[from=1-3, to=1-1]
+	\arrow[from=1-3, to=2-2]
+	\arrow["{\text{isometric extension}}"{description}, from=2-2, to=1-1]
 \end{tikzcd}\]
+
 \end{theorem}
 \yaref{thm:furstenberg} allows us to talk about ranks of distal minimal flows:
 \begin{definition}[{\cite[{}13.1]{Furstenberg}}]