超度量空间上的极大极小测度
Max-min measures on ultrametric spaces
摘要：
超度量空间上紧支撑的所有概率测度的集合的超度量化首先由Hartog和de Vink定义。本文考虑超度量空间上的极大极小测度的一个类似构造。特别地，我们证明了函子的极大极小测度与幂等测度是同构的。然而，我们表明，这不是由这些函子生成的单子的情况。
英文摘要：
The ultrametrization of the set of all probability measures of compact support on the ultrametric spaces was first defined by Hartog and de Vink. In this paper we consider a similar construction for the so called max-min measures on the ultrametric spaces. In particular, we prove that the functors max-min measures and idempotent measures are isomorphic. However, we show that this is not the case for the monads generated by these functors.
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。
