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Fix two errata in exercises
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jirilebl committed Jul 7, 2022
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4 changes: 2 additions & 2 deletions ca.tex
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Expand Up @@ -7004,7 +7004,7 @@ \subsection{Schwarz's lemma}
Prove a certain generalization of Schwarz's lemma
called the \emph{\myindex{Cartan's uniqueness theorem}}:
Suppose $U \subset \C$
is bounded,
is a bounded domain,
$f \colon U \to U$ is holomorphic,
$p \in U$,
and $f(p)=p$.
Expand Down Expand Up @@ -7142,7 +7142,7 @@ \subsection{Automorphisms of the disc}
f(z) = \frac{a z +b}{c z + d}
\avoidbreak
\end{equation*}
for real numbers $a,b,c,d$ such that $ad-bc \not= 0$.
for real numbers $a,b,c,d$ such that $ad-bc > 0$.
\end{exercise}

\begin{exercise}
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2 changes: 2 additions & 0 deletions changes-draft.html
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Expand Up @@ -18,6 +18,8 @@
Seems more straightforward stated this way.
<li>Note that Exercise 3.5.3 is called the Cartan's uniqueness theorem
and add it to the index.
<li>In exercise 3.5.7, ask for the condition \(ad-bc &gt; 0\) rather than
just \(ad-bc \not= 0 ,\) as while "correct" it is misleading.
<li>In proof of Corollary 5.2.3, emphasize where proof of first item ends and
the proof of the converse statement starts.
<li>In the comments after Definition 5.2.4, emphasize that
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