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Matematicheskie Trudy, 2023, Volume 26, Number 2, Pages 86–128
DOI: https://doi.org/10.33048/mattrudy.2023.26.205 (Mi mt681) 		 
Negative numberings in admissible sets. II

I. Sh. Kalimullinab, V. G. Puzarenkocd, M. Kh. Faizrahmanovab

a Kazan Federal University, Kazan, 420008, Russia
b Scientific-Educational Mathematical Center of Volga Federal District
c Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
d Novosibirsk State University, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/mattrudy.2023.26.205
Abstract: We describe constructions that are used in the proof of the main result of the first part of the article. They are based on automorphisms and properties of the Cantor space.
Key words: $\Sigma$-subset, structure, Cantor space, automorphism, computable set, computably enumerable set, admissible set.
Funding agency Grant number
Russian Science Foundation 23-21-00181
Program of developing the Scientific and Educational Mathematical Center of the Volga Federal District 075-02-2023-944
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0012
The work of the first and third authors was partially supported by the Russian Scientific Foundation (project no. 23-21-00181) and carried out within the framework of the Program for development of the Scientific and Educational Mathematical Center of Volga Federal District (agreement no. 075-02-2023-944). The work of the second author was partially supported by the Russian Ministry of Science and Higher Education (project no. FWNF-2022-0012).
Received: 22.07.2023
Revised: 22.10.2023
Accepted: 20.11.2023
English version:
Siberian Advances in Mathematics, 2024, Volume 34, Issue 1, Pages 41–66
DOI: https://doi.org/10.1134/S1055134424010024
Document Type: Article
UDC: 510.5
Language: Russian
Citation: I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faizrahmanov, “Negative numberings in admissible sets. II”, Mat. Tr., 26:2 (2023), 86–128; Siberian Adv. Math., 34:1 (2024), 41–66
Citation in format AMSBIB
\Bibitem{KalPuzFai23}
\by I.~Sh.~Kalimullin, V.~G.~Puzarenko, M.~Kh.~Faizrahmanov
\paper Negative numberings in admissible sets.~II
\jour Mat. Tr.
\yr 2023
\vol 26
\issue 2
\pages 86--128
\mathnet{http://mi.mathnet.ru/mt681}
\transl
\jour Siberian Adv. Math.
\yr 2024
\vol 34
\issue 1
\pages 41--66
\crossref{https://doi.org/10.1134/S1055134424010024}
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