广义立方体的局部球面超拓扑
Locally spherical hypertopes from generlised cubes
摘要：
我们证明了每个非退化的正则多面体都可以用来构造一个具有尾三角Coxeter图的薄的、剩余连通的、腔传递的关联几何，即正则超拓扑。我们讨论了几个有趣的例子时，这种结构适用于广义立方体。特别是，我们给出了一个双曲型秩$5$有限局部球面真超拓扑的例子。
英文摘要：
We show that every non-degenerate regular polytope can be used to construct a thin, residually-connected, chamber-transitive incidence geometry, i.e. a regular hypertope, with a tail-triangle Coxeter diagram. We discuss several interesting examples derived when this construction is applied to generalised cubes. In particular, we produce an example of a rank $5$ finite locally spherical proper hypertope of hyperbolic type.
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。
