W-Associahedra在你的脸上
W-Associahedra are In-Your-Face
摘要：
利用投影论证，一致证明了$W$ -置换面体和$W$ -结合面体具有如下性质：如果$v,v'$是同一个面$f$上的两个顶点，则$v$和$v'$之间的任何测地线都不离开$f$ .在类型$A$中，我们证明了我们的几何投影恢复了D.斯莱托河Tarjan和W.瑟斯顿
英文摘要：
We use a projection argument to uniformly prove that $W$-permutahedra and $W$-associahedra have the property that if $v,v'$ are two vertices on the same face $f$, then any geodesic between $v$ and $v'$ does not leave $f$. In type $A$, we show that our geometric projection recovers a slight modification of the combinatorial projection given by D. Sleator, R. Tarjan, and W. Thurston.
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。
