On a metric of the space of idempotent probability measures

Adilbek Atakhanovich Zaitov

Abstract

In this paper we introduce a metric on the space I(X) of idempotent probability measures on a given compact metric space (X; ρ), which extends the metric ρ. It is proven the introduced metric generates the pointwise convergence topology on I(X).


Keywords

compact metrizable space; idempotent measure; metrization

Subject classification

28C20; 54E35.

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References

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