Article ID Journal Published Year Pages File Type
4621077 Journal of Mathematical Analysis and Applications 2008 9 Pages PDF
Abstract

Following the construction due to Hartog and Vink we introduce a metric on the set of idempotent probability measures (Maslov measures) defined on an ultrametric space. This construction determines a functor on the category of ultrametric spaces and nonexpanding maps. We prove that this functor is the functorial part of a monad on this category. This monad turns out to contain the hyperspace monad.

Related Topics
Physical Sciences and Engineering Mathematics Analysis