论文标题

平面和平面图的渐近维度

Asymptotic dimension of planes and planar graphs

论文作者

Fujiwara, Koji, Papasoglu, Panos

论文摘要

我们表明,与平面子集的同构的地球空间的渐近尺寸最多是三个。特别是,平面和任何平面图的渐近维度最多是三个。

We show that the asymptotic dimension of a geodesic space that is homeomorphic to a subset in the plane is at most three. In particular, the asymptotic dimension of the plane and any planar graph is at most three.

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