Ideally, all infinite type surfaces can be triangulated
Geometric Topology
2021-02-19 v1 Combinatorics
Differential Geometry
Abstract
We show that any surface of infinite type admits an ideal triangulation. Furthermore, we show that a set of disjoint arcs can be completed into a triangulation if and only if, as a set, they intersect every simple closed curve a finite number of times.
Cite
@article{arxiv.2102.09531,
title = {Ideally, all infinite type surfaces can be triangulated},
author = {Alan McLeay and Hugo Parlier},
journal= {arXiv preprint arXiv:2102.09531},
year = {2021}
}
Comments
8 pages, 5 figures