R-树端点之间的Uniformly continuous映射
Uniformly continuous maps between ends of R-trees
摘要:
无限树和超度量空间之间有一个众所周知的对应关系,它可以被解释为范畴的等价,并且来自于对树的端空间的考虑。在这个等价中,端空间之间的一致连续映射被转化为树之间的某些类粗糙映射(甚至是度量适当的Lipschitz映射)。
英文摘要:
There is a well-known correspondence between infinite trees and ultrametric spaces which can be interpreted as an equivalence of categories and comes from considering the end space of the tree. In this equivalence, uniformly continuous maps between the end spaces are translated to some classes of coarse maps (or even classes of metrically proper lipschitz maps) between the trees.
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。