On the geometry of graphs associated to infinite-type surfaces

@article{Aramayona2016OnTG,
  title={On the geometry of graphs associated to infinite-type surfaces},
  author={J. Aramayona and Ferr{\'a}n Valdez},
  journal={Mathematische Zeitschrift},
  year={2016},
  volume={289},
  pages={309-322}
}
Consider a connected orientable surface S of infinite topological type, i.e. with infinitely-generated fundamental group. Our main purpose is to give a description of the geometric structure of an arbitrary subgraph of the arc graph of S, subject to some rather general conditions. As special cases, we recover results of Bavard (Geom Topol 20, 2016) and Aramayona–Fossas–Parlier (Arc and curve graphs for infinite-type surfaces. Preprint, 2015). In the second part of the paper, we obtain a number… Expand
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