论文标题
构图封闭的预编码结构和Kreweras晶格
Composition closed premodel structures and the Kreweras lattice
论文作者
论文摘要
我们研究了在有限晶格上较弱的晶格上较弱的晶格结构的丰富组合结构。我们证明，弱分解系统的包含顺序是自然的，因此间隔检测这些组成封闭的预编码结构。如果有问题的晶格是有限的总顺序，则该自然顺序可以检索非交叉分区的Kreweras晶格，作为Tamari晶格的改进，并且可以用某些三色树木识别模型结构。
We investigate the rich combinatorial structure of premodel structures on finite lattices whose weak equivalences are closed under composition. We prove that there is a natural refinement of the inclusion order of weak factorization systems so that the intervals detect these composition closed premodel structures. In the case that the lattice in question is a finite total order, this natural order retrieves the Kreweras lattice of noncrossing partitions as a refinement of the Tamari lattice, and model structures can be identified with certain tricolored trees.
