Аннотация:
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.
Ключевые слова и фразы:
idempotent measure, uniform space, uniformly continuous map.
Образец цитирования:
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
\RBibitem{BorEsh21}
\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
\mathnet{http://mi.mathnet.ru/emj412}
\crossref{https://doi.org/10.32523/2077-9879-2021-12-3-29-41}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000710837300003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85123883281}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj412
https://www.mathnet.ru/rus/emj/v12/i3/p29
Эта публикация цитируется в следующих 2 статьяx:
Ruzinazar Beshimov, Dilnora Safarova, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 020003
Ruzinazar Beshimov, Dilnora Safarova, “SOME PROPERTIES UNIFORM SPACE AND ITS HYPERSPACE”, ВОГУМФТ, 2023, № 1 (2), 281