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@ -64,7 +64,7 @@ all condensation points are accumulation points.
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For $\supseteq$ let $y$ be an element of the RHS.
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Then $y \in (a_{x_0}, b_{x_0}) \cap A$ for some $x_0$.
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As $(a_{x_0}, b_{x_0}) \cap A$ is at most countable,
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$y \in P$.
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$y \not\in P$.
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Now we have that $A \setminus P$ is a union
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of at most countably many sets,
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@ -125,7 +125,6 @@ We have shown (assuming \AxC to choose contained clubs):
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The \vocab{diagonal intersection},
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is defined to be
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\[
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\diagi_{\beta < \alpha} A_{\beta} \coloneqq
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\{\xi < \alpha : \xi \in \bigcap \{A_{\beta} : \beta < \xi\} \}.
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\]
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