A rigid set in a curve complex of a surface is a subcomplex such that every locally injective simplicial map from the set into the curve complex is induced by a homeomorphism of the surface. In this paper, we find finite rigid sets in the curve complexes of connected nonorientable surfaces of genus g with n holes for $$g+n \ne 4$$ g + n ≠ 4 .

中文翻译：

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不可定向曲面的复合曲线中的有限刚性集

曲面的曲线复形中的刚性集是一个子复形，使得从该集到曲线复形的每个局部单射单纯映射都由曲面的同胚引起。在本文中，我们在 $$g+n \ne 4$$ g + n ≠ 4 的情况下，在具有 n 个孔的 g 属的连通非定向曲面的曲线复合中找到有限刚性集。