josia-notes/w23-logic-2
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Josia Pietsch 2023-10-24 10:48:41 +02:00
parent 4a27324442
commit fb2c5b2715
Signed by: josia
GPG key ID: E70B571D66986A2D
2 changed files with 7 additions and 10 deletions

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inputs/lecture_03.tex
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@ -1,7 +1,7 @@
\lecture{03}{2023-10–23}{Cantor-Bendixson} \lecture{03}{2023-10–23}{Cantor-Bendixson}
\begin{theorem}[Cantor-Bendixson] \begin{theorem}[Cantor-Bendixson]
\yalabel{thm:cantorbendixson}{Cantor-Bendixson}{Cantor-Bendixson} \yalabel{Cantor-Bendixson}{Cantor-Bendixson}{thm:cantorbendixson}
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.
@ -127,6 +127,3 @@ all condensation points are accumulation points.
% is at most countable. % is at most countable.
% Also $A'$ is closed. % Also $A'$ is closed.
% \end{remark} % \end{remark}