标题： 莫加米流形、核以及三维单纯重力 显示英文标题

标题： Mogami manifolds, nuclei, and 3D simplicial gravity

摘要： 1995年，Mogami引入了一大类三维三角剖分伪流形，此后称为“Mogami伪流形”。他证明了这个类别的大小在四面体数量方面的指数界。自那时以来，所有3-球是否都是Mogami的问题一直未解决，正面答案将意味着对于具有N个四面体的3-球（和3- spheres）总数有一个非常期望的指数上界。在这里，我们提供了负面答案：许多3-球不是Mogami。在得出这一结果的过程中，我们根据Collet-Eckmann-Younan意义上的核来表征Mogami性质：“唯一的三维Mogami核是四面体”。 显示英文摘要

摘要： Mogami introduced in 1995 a large class of triangulated 3-dimensional pseudomanifolds, henceforth called "Mogami pseudomanifolds". He proved an exponential bound for the size of this class in terms of the number of tetrahedra. The question of whether all 3-balls are Mogami has remained open since, a positive answer would imply a much-desired exponential upper bound for the total number of 3-balls (and 3-spheres) with N tetrahedra. Here we provide a negative answer: many 3-balls are not Mogami. On the way to this result, we characterize the Mogami property in terms of nuclei, in the sense of Collet-Eckmann-Younan: "The only three-dimensional Mogami nucleus is the tetrahedron".