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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 $\phi$… Click to show full 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 $h:S\to S'$.
Keywords:
graphs infinite;
type surfaces;
isomorphisms curve;
curve graphs;
infinite type
Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!