Isomorphisms between curve graphs of infinite-type surfaces are geometric
Abstract
Let $\phi:\mathcal{C}(S)\to\mathcal{C}(S')$ be a simplicial isomorphism between the curve graphs of two infinite-type surfaces. In this paper we show that in this situation $S$ and $S'$ are homeomorphic and $\phi$ is induced by a homeomorphism $h:S\to S'$.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2017
- DOI:
- 10.48550/arXiv.1706.03697
- arXiv:
- arXiv:1706.03697
- Bibcode:
- 2017arXiv170603697H
- Keywords:
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- Mathematics - Geometric Topology
- E-Print:
- 12 pages, 5 figures