每个有限复形都有某个CAT（0）立方对偶群的同调
Every finite complex has the homology of some CAT(0) cubical duality group
摘要：
本文证明了有限连通单纯复形对于某些$\mathrm{CAT}(0)$三次对偶群具有分类空间的同调。更具体地说，对于任何有限单纯复形$X$，我们构造了一个局部$\mathrm{CAT}(0)$三次复形$T_{X}$和一个非循环映射$t_{X} : T_{X} \to X$，使得$π_1(T_X)$是一个对偶群。
英文摘要：
We prove that every finite connected simplicial complex has the homology of the classifying space for some $\mathrm{CAT}(0)$ cubical duality group. More specifically, for any finite simplicial complex $X$, we construct a locally $\mathrm{CAT}(0)$ cubical complex $T_{X}$ and an acyclic map $t_{X} : T_{X} \to X$ such that $π_1(T_X)$ is a duality group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
