On the topology of nested set complexes
On the topology of nested set complexes
复制标题
关于嵌套集合复形的拓扑
DOI：
10.1090/s0002-9939-04-07731-7
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Irene Mueller
中科院分区：
文献类型：
--
作者：
E. Feichtner;Irene Mueller
嵌套集合复合体是de Concini-Procesi排列模型的组合核心。证明了套集合复形等价于不含极小元的交半格的序复形。对于原子半格，我们考虑了第一作者和Yuzvinsky提出的由单纯扇实现套集复形的问题，并加强了我们以前的结果，证明了在这种情况下套集复形实际上是上述序复形的同胚。
Nested set complexes appear as the combinatorial core of De Concini-Procesi arrangement models. We show that nested set complexes are homotopy equivalent to the order complexes of the underlying meet-semilattices without their minimal elements. For atomic semilattices, we consider the realization of nested set complexes by simplicial fans proposed by the first author and Yuzvinsky and we strengthen our previous result showing that in this case nested set complexes in fact are homeomorphic to the mentioned order complexes.