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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 η-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 η-representable degree contains a set that is a range of values for some 0′-limitwise monotonic function pseudoincreasing on Q. Thus we obtain a description of strongly η-representable degrees in terms of 0′-limitwise monotonic functions.
Keywords: η-representable degree, 0′-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 η-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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\pages 346--356
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Linking options:
  • https://www.mathnet.ru/eng/al498
  • https://www.mathnet.ru/eng/al/v50/i4/p504
    • This publication is cited in the following 4 articles:
    1. ANDREY FROLOV, MAXIM ZUBKOV, “THE SIMPLEST LOW LINEAR ORDER WITH NO COMPUTABLE COPIES”, J. symb. log., 89:1 (2024), 97  crossref
    2. M. V. Zubkov, “Ob odnom klasse nizkikh lineinykh poryadkov, imeyuschikh vychislimye predstavleniya”, Algebra i logika, 61:5 (2022), 552–570  mathnet  crossref
    3. M. V. Zubkov, “A Class of Low Linear Orders Having Computable Presentations”, Algebra Logic, 61:5 (2022), 372  crossref
    4. M. V. Zubkov, A. N. Frolov, “Computable linear orders and limitwise monotonic functions”, J. Math. Sci. (N. Y.), 256:1 (2021), 61–95  mathnet  crossref  mathscinet
    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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    Abstract page:324
    Full-text PDF :96
    References:89
    First page:8
     
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