论文标题

使用图形颜色将歧管实现为叶子

Realization of manifolds as leaves using graph colorings

论文作者

López, Jesús A. Álvarez, Lijó, Ramón Barral

论文摘要

事实证明,有界几何形状的任何(重复的)riemannian歧管可以将其视为某些(最小)Riemannian Matchbox的叶片,而无需载体。我们的方法可以改编成实现cantor横向或规定的自动覆盖,但随后可能无法将歧管实现为密集的叶子。

It is proved that any (repetitive) Riemannian manifold of bounded geometry can be realized as a leaf of some (minimal) Riemannian matchbox manifold without holonomy. Our methods can be adapted to achieve Cantor transversals or a prescribed holonomy covering, but then the manifold may not be realized as a dense leaf.

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