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Commit 59bae33

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committedJul 20, 2021
Remove "X is Sober and"
Thanks to Tim Evink https://stacks.math.columbia.edu/tag/08YF#comment-6398
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‎CONTRIBUTORS

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@@ -107,6 +107,7 @@ Jonas Ehrhard
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Alexander Palen Ellis
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Matthew Emerton
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Aras Ergus
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Tim Evink
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Andrew Fanoe
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Maxim Fedorchuck
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Hu Fei

‎topology.tex

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@@ -4131,7 +4131,7 @@ \section{Spectral spaces}
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we see that $\bigcap (U_i \cap E)$ is nonempty by
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Lemma \ref{lemma-constructible-hausdorff-quasi-compact} and
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Lemma \ref{lemma-intersection-closed-in-quasi-compact}.
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Since $X$ is a sober space and $\{U_i\}$ is a
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Since $\{U_i\}$ is a
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fundamental system of open neighbourhoods of $x$, we see that
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$\bigcap U_i$ is the set of generalizations of $x$. Thus
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$x$ is a specialization of a point of $E$.

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