A pr 2 01 4 The curve complex has dead ends
نویسنده
چکیده
It is proved that the curve graph C(Σ) of a surface Σg,n has a local pathology that had not been identified as such: there are vertices α, β ∈ C (Σ) such that β is a dead end of every geodesic joining α to β. There are also double dead-ends. Every dead end has depth 1. Mathematical Subject Classification 57M99, 20F65
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