Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621077 | Journal of Mathematical Analysis and Applications | 2008 | 9 Pages |
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.
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