高维流形上伪领的更多例子
More Examples of Pseudo-Collars on High-Dimensional Manifolds
摘要：
在以前的论文中，我们开发了一般技术，用于构建各种伪衣领，定义由Guilbault和Tinsley，根在早期的工作由查普曼和Siebenmann。作为我们的技术的一个应用，我们展示了一个不可数的伪衣领，所有具有相同的边界和类似的基本群系统在无穷远。该家族的构建是非常特殊的;它依赖于汤普森基团$V$的性质。在本文中，我们提供了一个更一般的方法来构建类似的例子集合。而不是使用汤普森的组$V$，我们的基础上更广泛和更常见的群体，特别是，基本群的某些双曲3-流形的新的例子。
英文摘要：
In a previous paper, we developed general techniques for constructing a variety of pseudo-collars, as defined by Guilbault and Tinsley, with roots in earlier work by Chapman and Siebenmann. As an application of our techniques, we exhibited an uncountable collection of pseudo-collars, all with the same boundary and similar fundamental group systems at infinity. Construction of that family was very specific; it relied on properties of Thompson's group $V$. In this paper, we provide a more general approach to constructing similar collections of examples. Instead of using Thompson's group $V$, we base our new examples on a broader and more common collection of groups, in particular, fundamental groups of certain hyperbolic 3-manifolds.
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。
