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Eurasian Mathematical Journal, 2021, Volume 12, Number 3, Pages 29–41
DOI: https://doi.org/10.32523/2077-9879-2021-12-3-29-41 (Mi emj412) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The functor of idempotent probability measures and maps with uniformity properties of uniform spaces

A. A. Borubaeva, D. T. Eshkobilovab

a Institute of Mathematics of National Academy of Sciences of Kyrgyz Republic, 265 Chuy Avenue, Bishkek, 720071, Kyrgyz Republic
b Termez State University, 43 F. Khodjaev St, Termez, 190111, Uzbekistan
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DOI: https://doi.org/10.32523/2077-9879-2021-12-3-29-41
Abstract: In the present paper we established that the functor of idempotent probability measures with a compact support transforms open maps into open maps and preserves the weight and the completeness index of uniform spaces. Consequently, the space of idempotent probability measures with a compact support is a locally compact Hausdorff space if and only if the original space is such.
Keywords and phrases: idempotent measure, uniform space, uniformly continuous map.
Received: 28.10.2020
Bibliographic databases:
Document Type: Article
MSC: 54E15, 54B30, 18B30
Language: English
Citation: A. A. Borubaev, D. T. Eshkobilova, “The functor of idempotent probability measures and maps with uniformity properties of uniform spaces”, Eurasian Math. J., 12:3 (2021), 29–41
Citation in format AMSBIB
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\by A.~A.~Borubaev, D.~T.~Eshkobilova
\paper The functor of idempotent probability measures and maps with uniformity properties of uniform spaces
\jour Eurasian Math. J.
\yr 2021
\vol 12
\issue 3
\pages 29--41
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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