## Curve Graphs On Surfaces Of Infinite Type

We define and study analogs of curve graphs for infinite type surfaces. Our definitions use the geometry of a fixed surface and vertices of our graphs are infinite multicurves which are bounded in both a geometric and a topological sense. We show that the graphs we construct are generally connected, infinite diameter and infinite rank.

Published in:
Annales Academiae Scientiarum Fennicae-Mathematica, 40, 2, 793-801
Year:
2015
Publisher:
Helsinki, Suomalainen Tiedeakatemia
ISSN:
1239-629X
Keywords:
Laboratories: