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Article Dans Une Revue Fundamenta Mathematicae Année : 2020

Superinjective simplicial maps of the two-sided curve complexes on nonorientable surfaces

Résumé

Let N be a compact, connected, nonorientable surface of genus g >= 5 with n >= 0 boundary components. Let T(N) be the two-sided curve complex of N. If lambda: T(N) -> T(N) is a superinjective simplicial map, then there exists a homeomorphism h: N -> N unique up to isotopy such that H(alpha) = lambda(alpha) for every vertex alpha in T(N) where H = [h].

Dates et versions

hal-03034116 , version 1 (01-12-2020)

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Citer

Elmas Irmak, Luis Paris. Superinjective simplicial maps of the two-sided curve complexes on nonorientable surfaces. Fundamenta Mathematicae, 2020, 249 (3), pp.211-260. ⟨10.4064/fm504-6-2019⟩. ⟨hal-03034116⟩
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