弱外超凸子集与超凸胶合
Weakly Externally Hyperconvex Subsets and Hyperconvex Gluings
摘要：
给出了超凸度量空间沿弱外超凸子集的胶合的一个充要条件，使得所得到的空间是超凸的。这导致了同一超凸空间的两个等距副本的胶合的充分表征。进一步，我们研究了有限维超凸线性空间沿线性子空间的胶合情形。为此，我们刻画了$l_\infty^n$中弱外超凸的凸多面体。
英文摘要：
We give a necessary and sufficient condition for gluings of hyperconvex metric spaces along weakly externally hyperconvex subsets in order that the resulting space be hyperconvex. This leads to a full characterization of gluings of two isometric copies of the same hyperconvex space. Furthermore, we investigate the case of gluings of finite dimensional hyperconvex linear spaces along linear subspaces. For this purpose, we characterize the convex polyhedra in $l_\infty^n$ which are weakly externally hyperconvex.
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。
