论文标题
有关猫（0）立方复合物和标志简单复合物
Relating CAT(0) cubical complexes and flag simplicial complexes
论文作者
论文摘要
给定有有限的CAT（0）立方体复合物，我们定义了与之相关的标志简单络合物，称为横断复合物。我们表明，穿越复合物拥有原始立方体复合物的许多组合信息：例如，立方复合物中的超平面对应于交叉络合物中的顶点链接，并且仅当立方体复合物具有立方体平衡时，交叉络合物才能平衡。最重要的结果是，CAT（0）立方体复合物和标志简单复合物的$ F $ - 向量的集合相等，直至可演变的线性转换。
Given a finite CAT(0) cubical complex, we define a flag simplicial complex associated to it, called the crossing complex. We show that the crossing complex holds much of the combinatorial information of the original cubical complex: for example, hyperplanes in the cubical complex correspond to vertex links in the crossing complex, and the crossing complex is balanced if and only if the cubical complex is cubically balanced. The most significant result is that the sets of $f$-vectors of CAT(0) cubical complexes and flag simplicial complexes are equal, up to an invertible linear transformation.
