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- W4288328704 abstract "Let $S$ be an $n$-punctured sphere, with $n geq 3$. We prove that $binom{n}{3}$ is the maximum size of a family of pairwise non-homotopic simple arcs on $S$ joining a fixed pair of distinct punctures of $S$ and pairwise intersecting at most twice. On the way, we show that a square annular diagram $A$ has a corner on each of its boundary paths if $A$ contains at least one square and the dual curves of $A$ are simple arcs joining the boundary paths of $A$ and pairwise intersecting at most once." @default.
- W4288328704 created "2022-07-28" @default.
- W4288328704 creator A5064678138 @default.
- W4288328704 date "2019-06-14" @default.
- W4288328704 modified "2023-10-17" @default.
- W4288328704 title "2-systems of arcs on spheres with prescribed endpoints" @default.
- W4288328704 doi "https://doi.org/10.48550/arxiv.1906.06145" @default.
- W4288328704 hasPublicationYear "2019" @default.
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