Superinjective simplicial maps of the two-sided curve complexes on nonorientable surfaces
Volume 249 / 2020
Fundamenta Mathematicae 249 (2020), 211-260
MSC: Primary 57N05; Secondary 20F38.
DOI: 10.4064/fm504-6-2019
Published online: 23 December 2019
Abstract
Let be a compact, connected, nonorientable surface of genus g\geq 5 with n\geq 0 boundary components. Let \mathcal {T}(N) be the two-sided curve complex of N. If \lambda :\mathcal {T}(N) \rightarrow \mathcal {T}(N) is a superinjective simplicial map, then there exists a homeomorphism h : N \rightarrow N unique up to isotopy such that H(\alpha ) = \lambda (\alpha ) for every vertex \alpha in \mathcal {T}(N) where H=[h].
