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fix: wording
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Vtec234 committed Sep 7, 2024
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Expand Up @@ -222,13 +222,13 @@ We just showed $h(4) ≤ 5$ and $9 < h(5)$. #pause

*Theorem* @35erdos_combinatorial_problem_geometry.
For a fixed $k$, every _sufficiently large_ set of points contains a convex $k$-gon.
So $g(k)$ is finite. #pause
So all $g(k)$ are finite. #pause

*Theorem* @hortonSetsNoEmpty1983.
For any $k ≥ 7$, there exist arbitrarily large sets of points containing no $k$-holes.
So $h(7) = h(8) = … = ∞$.

== The complete story
== Known tight bounds

#table(
columns: (auto, auto),
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