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Algebra i logika, 2011, Volume 50, Number 4, Pages 504–520 (Mi al498)  
This article is cited in 4 scientific papers (total in 4 papers)

Strongly $\eta$-representable degrees and limitwise monotonic functions

M. V. Zubkov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (223 kB) Citations (4)
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Abstract: It is proved that each strongly $\eta$-representable degree contains a set that is a range of values for some $\boldsymbol0'$-limitwise monotonic function pseudoincreasing on $\mathbb Q$. Thus we obtain a description of strongly $\eta$-representable degrees in terms of $\boldsymbol0'$-limitwise monotonic functions.
Keywords: $\eta$-representable degree, $\boldsymbol0'$-limitwise monotonic function.
Received: 01.10.2009
Revised: 02.02.2011
English version:
Algebra and Logic, 2011, Volume 50, Issue 4, Pages 346–356
DOI: https://doi.org/10.1007/s10469-011-9146-5
Bibliographic databases:
Document Type: Article
UDC: 510.53+512.562
Language: Russian
Citation: M. V. Zubkov, “Strongly $\eta$-representable degrees and limitwise monotonic functions”, Algebra Logika, 50:4 (2011), 504–520; Algebra and Logic, 50:4 (2011), 346–356
Citation in format AMSBIB
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\by M.~V.~Zubkov
\paper Strongly $\eta$-representable degrees and limitwise monotonic functions
\jour Algebra Logika
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\vol 50
\issue 4
\pages 504--520
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\transl
\jour Algebra and Logic
\yr 2011
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\issue 4
\pages 346--356
\crossref{https://doi.org/10.1007/s10469-011-9146-5}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:80
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