On a metric of the space of idempotent probability measures

• Zaitov, Adilbek Atakhanovich ^[1]
  1. [1] Tashkent Institute of Architecture and Civil Engineering
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 21, Nº. 1, 2020, págs. 35-51
• Idioma: inglés
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• Resumen

  • 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).