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Contemporary Mathematics. Fundamental Directions, 2021, Volume 67, Issue 4, Pages 693–706
DOI: https://doi.org/10.22363/2413-3639-2021-67-4-693-706 (Mi cmfd443) 		 
Functor of idempotent probability measures with compact support and open mappings

A. Ya. Ishmetov

Tashkent Institute of Architecture and Civil Engineering, Tashkent, Uzbekistan
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DOI: https://doi.org/10.22363/2413-3639-2021-67-4-693-706
Abstract: In this paper, we show that the functor of idempotent probability measures with compact support acting in the category of Tikhonov spaces and their continuous mappings is normal. It is found that this functor is monodic. Further, it is proved that the functor of idempotent probability measures with compact support preserves the openness of continuous mappings of Tikhonov spaces.
Document Type: Article
UDC: 515.12
Language: Russian
Citation: A. Ya. Ishmetov, “Functor of idempotent probability measures with compact support and open mappings”, Science — Technology — Education — Mathematics — Medicine, CMFD, 67, no. 4, PFUR, M., 2021, 693–706
Citation in format AMSBIB
\Bibitem{Ish21}
\by A.~Ya.~Ishmetov
\paper Functor of idempotent probability measures with compact support and open mappings
\inbook Science — Technology — Education — Mathematics — Medicine
\serial CMFD
\yr 2021
\vol 67
\issue 4
\pages 693--706
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd443}
\crossref{https://doi.org/10.22363/2413-3639-2021-67-4-693-706}
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