论文标题
具有Menger曲线边界的右角Coxeter组
Right-angled Coxeter groups with Menger curve boundary
论文作者
论文摘要
我们发现了双曲线右角的神经的足够条件，在该基团下，该组的边界对Menger曲线是同构的。我们表明，通过边界和其他2个复合物的表面的许多三角形以及对任意$ n \ geq3 $的圆盘$ d^n $的某些三角剖分都可以满足这种情况。
We find a sufficient condition for a nerve of a hyperbolic right-angled Coxeter group, under which the boundary of the group is homeomorphic to the Menger curve. We show that this condition is satisfied by many triangulations of surfaces with boundary and other 2-complexes, as well as by some triangulations of disks $D^n$ for arbitrary $n\geq3$.
