On a metric of the space of idempotent probability measures

Adilbek Atakhanovich Zaitov

doi:10.4995/agt.2020.11865

Authors

Adilbek Atakhanovich Zaitov Tashkent Institute of Architecture and Civil Engineering

DOI:

https://doi.org/10.4995/agt.2020.11865

Keywords:

compact metrizable space, idempotent measure, metrization

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).

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Author Biography

Adilbek Atakhanovich Zaitov, Tashkent Institute of Architecture and Civil Engineering

Department of Mathematics and Natural Disciplines

References

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