Curve graphs on surfaces of infinite type
- Fossas, Ariadna École Polytechnique Fédérale de Lausanne, FSB, Section de mathématiques, Switzerland
- Parlier, Hugo University of Fribourg, Department of Mathematics, Switzerland
-
2015
Published in:
- Annales Academiae Scientiarum Fennicae Mathematica. - 2015, vol. 40, p. 793–801
English
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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 257249
- DOI 10.5186/aasfm.2015.4049
- Persistent URL
- https://folia.unifr.ch/unifr/documents/304465
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