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Josia Pietsch 2023-12-04 16:07:22 +01:00
parent 2b1296255b
commit 68280c4b70
Signed by: josia
GPG key ID: E70B571D66986A2D
2 changed files with 1 additions and 2 deletions
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2
inputs/lecture_03.tex
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@ -64,7 +64,7 @@ all condensation points are accumulation points.
For $\supseteq$ let $y$ be an element of the RHS. For $\supseteq$ let $y$ be an element of the RHS.
Then $y \in (a_{x_0}, b_{x_0}) \cap A$ for some $x_0$. Then $y \in (a_{x_0}, b_{x_0}) \cap A$ for some $x_0$.
As $(a_{x_0}, b_{x_0}) \cap A$ is at most countable, As $(a_{x_0}, b_{x_0}) \cap A$ is at most countable,
$y \in P$. $y \not\in P$.
Now we have that $A \setminus P$ is a union Now we have that $A \setminus P$ is a union
of at most countably many sets, of at most countably many sets,

1
inputs/lecture_14.tex
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@ -125,7 +125,6 @@ We have shown (assuming \AxC to choose contained clubs):
The \vocab{diagonal intersection}, The \vocab{diagonal intersection},
is defined to be is defined to be
\[ \[
\diagi_{\beta < \alpha} A_{\beta} \coloneqq \diagi_{\beta < \alpha} A_{\beta} \coloneqq
\{\xi < \alpha : \xi \in \bigcap \{A_{\beta} : \beta < \xi\} \}. \{\xi < \alpha : \xi \in \bigcap \{A_{\beta} : \beta < \xi\} \}.
\] \]