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Josia Pietsch 2023-10-24 10:34:43 +02:00
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inputs/lecture_03.tex
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@ -1,8 +1,7 @@
\lecture{03}{2023-10–23}{Cantor-Bendixson} \lecture{03}{2023-10–23}{Cantor-Bendixson}
\begin{theorem}[Cantor-Bendixson] \begin{theorem}[Cantor-Bendixson]
\yaref{thm:cantorbendixson}{Cantor-Bendixson}{Cantor-Bendixson} \yalabel{thm:cantorbendixson}{Cantor-Bendixson}{Cantor-Bendixson}
If $A \subseteq \R$ is closed, If $A \subseteq \R$ is closed,
it is either at most countable or else it is either at most countable or else
$A$ contains a perfect set. $A$ contains a perfect set.