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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
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
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.
Поступила в редакцию: 28.10.2020
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj412 https://www.mathnet.ru/rus/emj/v12/i3/p29
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Страница аннотации: | 141 | PDF полного текста: | 87 | Список литературы: | 30 |
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