从组合学观点看次线性Morse边界
Sublinearly Morse boundaries from the viewpoint of combinatorics
摘要：
本文证明了每个已知群的次线性Morse边界连续注入到某个双曲图的Gromov边界中。我们还表明，对于所有的CAT（0）立方复形，收敛到次线性Morse测地线有一个简单的组合描述，使用超平面穿过这样的序列。作为这种组合描述的一个应用，我们表明，一定的子空间的辊边界连续sureries上的子空间的视觉边界组成的次线性Morse测地线。
英文摘要：
We prove that the sublinearly Morse boundary of every known cubulated group continuously injects in the Gromov boundary of a certain hyperbolic graph. We also show that for all CAT(0) cube complexes, convergence to sublinearly Morse geodesic rays has a simple combinatorial description using the hyperplanes crossed by such sequences. As an application of this combinatorial description, we show that a certain subspace of the Roller boundary continously surjects on the subspace of the visual boundary consisting of sublinearly Morse geodesic rays.
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。
