An upper bound on distance degenerate handle additions
classification
🧮 math.GT
keywords
distancedegenerateadditionsballboundboundarycomplexcomponent
read the original abstract
We prove that for any distance at least 3 Heegaard splitting and a boundary component $F$, there is a diameter finite ball in the curve complex $\mathcal {C}(F)$ so that it contains all distance degenerate curves or slopes in $F$.
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