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arxiv: 1101.1843 · v5 · pith:ZI3E52ZXnew · submitted 2011-01-10 · 🧮 math.GT · math.GR

Asymptotic dimension and the disk graph I

classification 🧮 math.GT math.GR
keywords boundarygraphasymptoticcurvedimensiondiskdisksembedded
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For a 3-manifold M and a subsurface $X$ of the boundary of M with empty or incompressible boundary we use surgery to identify a graph whose vertices are disks with boundary in X and which is quasi-isometrically embedded in the curve graph of X.

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