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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2023 Volume 26, Number 2, Pages 86–128 (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

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.

UDC: 510.5

Received: 22.07.2023
Revised: 22.10.2023
Accepted: 20.11.2023

DOI: 10.33048/mattrudy.2023.26.205


 English version:
Siberian Advances in Mathematics, 2024, 34:1, 41–66


© Steklov Math. Inst. of RAS, 2024