Does Helly's theorem hold in the hyperbolic plane? – mathoverflow.net

Does Helly's theorem hold in the hyperbolic plane? – mathoverflow.net

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The Helly theorem in the Euclidean plane asserts that if $S_1, \dots, S_n$ are $n \ge 3$ convex subsets such that $S_i \cap S_j \cap S_k \ne \emptyset$ for all distinct triples $i,j,k$, then the total ...

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