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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 5, Pages 96–100
DOI: https://doi.org/10.26907/0021-3446-2023-5-96-100 (Mi ivm9883) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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Effectively infinite classes of numberings of computable families of reals

M. Kh. Faizrahmanov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2023-5-96-100
Abstract: Results on the effective infinity of classes of all (single-valued) numberings of families of all left-c.e. and all Martin-Löf random left-c.e. reals are presented, as well as sufficient conditions for the effective infinity of classes of numberings of families of computably enumerable sets aimed at obtaining them.
Keywords: computable numbering, single-valued numbering, positive numbering, effective infinity, left-c.e. real.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-944
Russian Science Foundation 23-21-00181
Received: 09.03.2023
Revised: 09.03.2023
Accepted: 29.03.2023
Document Type: Article
UDC: 510.5
Language: Russian
Citation: M. Kh. Faizrahmanov, “Effectively infinite classes of numberings of computable families of reals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 5, 96–100
Citation in format AMSBIB
\Bibitem{Fai23}
\by M.~Kh.~Faizrahmanov
\paper Effectively infinite classes of numberings of computable families of reals
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 5
\pages 96--100
\mathnet{http://mi.mathnet.ru/ivm9883}
\crossref{https://doi.org/10.26907/0021-3446-2023-5-96-100}
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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