论文标题

一端的3个manifolds,没有局部有限的复合分解

One-ended 3-manifolds without locally finite toric decompositions

论文作者

Maillot, Sylvain

论文摘要

我们介绍了一类单端的开放式3个manifolds,可以从两个紧凑的3个manifolds中定义“递归”,并在此类中构建了歧管的示例,这些示例在Jaco-Shalen和Johannson的意义上无法进行折叠的分解。

We introduce a class of one-ended open 3-manifolds which can be `recursively' defined from two compact 3-manifolds, and construct examples of manifolds in this class which fail to have a toric decomposition in the sense of Jaco-Shalen and Johannson.

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