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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 4, Pages 125–132 (Mi vngu63)  
This article is cited in 5 scientific papers (total in 5 papers)

Some Properties of Numberings in Various Levels in Ershov's Hierarchy

S. S. Ospichev

Novosibirsk State University
Full-text PDF (229 kB) Citations (5)
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Abstract: There was proved, that there no $\Delta^{-1}_{a}$-computable numbering of family of all $\Delta^{-1}_{a}$-sets, $a$ is constructive ordinal. Also there was proved, that there is minimal $\omega$-computable numbering of family of all sets from $\bigcup\limits_{k\in\omega}\Sigma_{k}^{-1}$.
Keywords: computable numbering, friedberg numbering, Ershov's hierarchy.
Received: 22.01.2010
English version:
Journal of Mathematical Sciences, 2013, Volume 188, Issue 4, Pages 441–448
DOI: https://doi.org/10.1007/s10958-012-1140-5
Document Type: Article
UDC: 510.10+510.57
Language: Russian
Citation: S. S. Ospichev, “Some Properties of Numberings in Various Levels in Ershov's Hierarchy”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:4 (2010), 125–132; J. Math. Sci., 188:4 (2013), 441–448
Citation in format AMSBIB
\Bibitem{Osp10}
\by S.~S.~Ospichev
\paper Some Properties of Numberings in Various Levels in Ershov's Hierarchy
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 4
\pages 125--132
\mathnet{http://mi.mathnet.ru/vngu63}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 188
\issue 4
\pages 441--448
\crossref{https://doi.org/10.1007/s10958-012-1140-5}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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