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More typos found by Claude Code #1626
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Co-authored-by: Patrick Rabau <70125716+prabau@users.noreply.github.com>
Co-authored-by: Patrick Rabau <70125716+prabau@users.noreply.github.com>
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| See Theorem 5 in <https://arxiv.org/abs/0708.2136>. The smallest (open) neighborhood $U$ of a point $x$ in an Alexandrov space is always compact. Indeed, in $U$ itself with the subspace topology any open cover of $U$ contains a neighbourhood of $x$ included in $U$. Such a neighbourhood is necessarily equal to $U$, so the open cover admits $\{U\}$ as a finite subcover. | ||
| See Theorem 5 in <https://arxiv.org/abs/0708.2136>. The smallest (open) neighborhood $U$ of a point $x$ in an Alexandrov space is always compact. Indeed, in $U$ itself with the subspace topology any open cover of $U$ contains a neighborhood of $x$ included in $U$. Such a neighborhood is necessarily equal to $U$, so the open cover admits $\{U\}$ as a finite subcover. |
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it's not a problem to use the British spelling
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I know, it only got flagged because it used both american and british spelling for neighbo(u)rhood in the same file, so why not make it (filewide) consistent.
Co-authored-by: Patrick Rabau <70125716+prabau@users.noreply.github.com>
Co-authored-by: Patrick Rabau <70125716+prabau@users.noreply.github.com>
Again, I checked all of these manually. (!)
FYI, it seems like Claude really doesnt go systematically over these and is behaving very strangely. (the one it found, again, checked are are good to fix).