偏序集的套集复形与Bier构造
Nested set complexes for posets and the Bier construction
摘要：
将组合套集复形的概念推广到偏序集，并给出了组合套集复形与偏序集序复形之间的拓扑关系。特别地，给出了一个充分条件，使得这种关系实际上是一个细分。我们使用的结果推广的证明方法的Čukić和Delucchi，到目前为止仅限于半格，结果的Björner，Paffenholz，Sjöstrand和齐格勒的Bier建设偏序集。
英文摘要：
We generalize the concept of combinatorial nested set complexes to posets and exhibit the topological relationship between the arising nested set complexes and the order complex of the underlying poset. In particular, a sufficient condition is given so that this relationship is actually a subdivision. We use the results to generalize the proof method of Čukić and Delucchi, so far restricted to semilattices, for a result of Björner, Paffenholz, Sjöstrand and Ziegler on the Bier construction on posets.
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。
