On a metric of the space of idempotent probability measures

On a metric of the space of idempotent probability measures

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).

Bibliographic Details
Main Author: Adilbek Atakhanovich Zaitov
Format: Article
Language:English
Published: Universitat Politècnica de València 2020-04-01
Series:Applied General Topology
Subjects:
compact metrizable space
idempotent measure
metrization
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/11865
id doaj-75ddaeb559554e5f92b6b8dd99cdf313
record_format Article
spelling doaj-75ddaeb559554e5f92b6b8dd99cdf3132020-11-25T02:22:05ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472020-04-01211355110.4995/agt.2020.118658038On a metric of the space of idempotent probability measuresAdilbek Atakhanovich Zaitov0Tashkent Institute of Architecture and Civil EngineeringIn 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).https://polipapers.upv.es/index.php/AGT/article/view/11865compact metrizable spaceidempotent measuremetrization
collection DOAJ
language English
format Article
sources DOAJ
author Adilbek Atakhanovich Zaitov
spellingShingle Adilbek Atakhanovich Zaitov
On a metric of the space of idempotent probability measures
Applied General Topology
compact metrizable space
idempotent measure
metrization
author_facet Adilbek Atakhanovich Zaitov
author_sort Adilbek Atakhanovich Zaitov
title On a metric of the space of idempotent probability measures
title_short On a metric of the space of idempotent probability measures
title_full On a metric of the space of idempotent probability measures
title_fullStr On a metric of the space of idempotent probability measures
title_full_unstemmed On a metric of the space of idempotent probability measures
title_sort on a metric of the space of idempotent probability measures
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2020-04-01
description 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).
topic compact metrizable space
idempotent measure
metrization
url https://polipapers.upv.es/index.php/AGT/article/view/11865
work_keys_str_mv AT adilbekatakhanovichzaitov onametricofthespaceofidempotentprobabilitymeasures
_version_ 1724863516760866816

Similar Items