双闭集的典范并复形
The canonical join complex for biclosed sets
摘要：
半分配格的正则并复形是一个单纯复形，它的面是半分配格元素的正则并表示。我们给出了一个组合分类的面的典型的连接复杂的格bicclosed集段支持的树，介绍了第三作者和McConville。我们还使用我们的分类来描述的元素的碎片交叉顺序的格的双闭集。作为结果，我们证明了这个分片交序是一个格。
英文摘要：
The canonical join complex of a semidistributive lattice is a simplicial complex whose faces are canonical join representations of elements of the semidistributive lattice. We give a combinatorial classification of the faces of the canonical join complex of the lattice of biclosed sets of segments supported by a tree, as introduced by the third author and McConville. We also use our classification to describe the elements of the shard intersection order of the lattice of biclosed sets. As a consequence, we prove that this shard intersection order is a lattice.
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