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On metrisation of the space of idempotent probability measures

General Topology 2019-05-13 v1

Abstract

In this paper we introduce a metrics on the space of idempotent probability measures on a given compactum, which extends the metrics on the compactum. It is proven the introduced metrics generates the pointwise convergence topology on the space of idempotent probability measures

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Cite

@article{arxiv.1905.02466,
  title  = {On metrisation of the space of idempotent probability measures},
  author = {Adilbek Atakhanovich Zaitov},
  journal= {arXiv preprint arXiv:1905.02466},
  year   = {2019}
}

Comments

arXiv admin note: substantial text overlap with arXiv:math/0507014 by other authors; text overlap with arXiv:math/0206025, arXiv:1810.09140 by other authors