标题： 带装饰的穿孔非定向曲面的脊柱 显示英文标题

标题： A spine for the decorated Teichmüller space of a punctured non-orientable surface

摘要： 基于Harer [\cite{Ha86}] 的工作，我们构造了带至少一个尖点且欧拉示性数为负的非定向曲面装饰化Teichmüller空间的一个脊。我们计算了该脊的维数，并证明了关于这个脊的形变收缩与非定向曲面的纯映射类群是等变的。由此得出，我们得到了穿孔非定向曲面纯映射类群的类ifying空间的一个模型，在只有一个穿孔的情况下，该模型的维数是最小的。 显示英文摘要

摘要： Building on work of Harer \cite{Ha86}, we construct a spine for the decorated Teichm\"uller space of a non-orientable surface with at least one puncture and negative Euler characteristic. We compute its dimension, and show that the deformation retraction onto this spine is equivariant with respect to the pure mapping class group of the non-orientable surface. As a consequence, we obtain a model for the classifying space for proper actions of the pure mapping class group of a punctured non-orientable surface, which is of minimal dimension in the case there is a single puncture.