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Algebra i logika, 2003, Volume 42, Number 1, Pages 3–25 (Mi al14)  
This article is cited in 26 scientific papers (total in 26 papers)

Splitting Properties of Total Enumeration Degrees

M. M. Arslanova, I. Sh. Kalimullinb, S. B. Cooperc

a Kazan State University
b N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
c University of Leeds
Full-text PDF (272 kB) Citations (26)
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Abstract: We describe general conditions under which relative splittings and specified diamond embeddings are derivable in the local structure of enumeration degrees (e-degrees). In so doing, we touch upon three basic issues: the possibility for studying properties of Turing degrees via enumeration reducibility; general definability problems and the role of splitting and non-splitting; and (emerging from the techniques developed) the description of new relationships between information content and degree theoretic structure.
Keywords: enumeration degrees, Turing degrees, splitting of degrees.
Received: 30.01.2001
English version:
Algebra and Logic, 2003, Volume 42, Issue 1, Pages 1–13
DOI: https://doi.org/10.1023/A:1022660222520
Bibliographic databases:
UDC: 510.5
Language: Russian
Citation: M. M. Arslanov, I. Sh. Kalimullin, S. B. Cooper, “Splitting Properties of Total Enumeration Degrees”, Algebra Logika, 42:1 (2003), 3–25; Algebra and Logic, 42:1 (2003), 1–13
Citation in format AMSBIB
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\by M.~M.~Arslanov, I.~Sh.~Kalimullin, S.~B.~Cooper
\paper Splitting Properties of Total Enumeration Degrees
\jour Algebra Logika
\yr 2003
\vol 42
\issue 1
\pages 3--25
\mathnet{http://mi.mathnet.ru/al14}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1988020}
\zmath{https://zbmath.org/?q=an:1032.03037}
\transl
\jour Algebra and Logic
\yr 2003
\vol 42
\issue 1
\pages 1--13
\crossref{https://doi.org/10.1023/A:1022660222520}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-24644460999}
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    • This publication is cited in the following 26 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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    Full-text PDF :145
    References:66
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