Let S be a connected non-orientable surface with negative Euler characteristic and of finite type. We describe the possible closures in \(\mathcal M\mathcal L\) and \(\mathcal P\mathcal M\mathcal L\) of the mapping class group orbits of measured laminations, projective measured laminations and points in Teichmüller space. In particular we obtain a characterization of the closure in \(\mathcal M\mathcal L\) of the set of weighted two-sided curves.

中文翻译：

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不可定向表面的映射类组轨道闭合

令S为具有负欧拉特征的有限型连通不可定向曲面。我们描述了测量叠层、投影测量叠层和 Teichmüller 空间中的点的映射类群轨道的\(\mathcal M\mathcal L\)和\(\mathcal P\mathcal M\mathcal L\)中可能的闭包。特别是，我们获得了加权两侧曲线集\(\mathcal M\mathcal L\)中闭包的表征。