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Algebra i logika, 2006, Volume 45, Number 3, Pages 354–370 (Mi al149)  
This article is cited in 30 scientific papers (total in 30 papers)

$\Delta_2^0$-Copies of Linear Orderings

A. N. Frolov

Kazan State University
Full-text PDF (223 kB) Citations (30)
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Abstract: It is proved that, for any $n\in\omega$, there exist countable linear orderings $L_n$ whose $\Delta_2^0$-spectrum consists of exactly all non $n$-low $\Delta_2^0$-degrees. Properties of such orderings are examined, for $n=1$ and $n=2$.
Keywords: countable linear ordering, $\Delta_2^0$-degree, $\Delta_2^0$-spectrum.
Received: 08.09.2004
Revised: 12.12.2005
English version:
Algebra and Logic, 2006, Volume 45, Issue 3, Pages 201–209
DOI: https://doi.org/10.1007/s10469-006-0017-4
Bibliographic databases:
UDC: 510.53+512.562
Language: Russian
Citation: A. N. Frolov, “$\Delta_2^0$-Copies of Linear Orderings”, Algebra Logika, 45:3 (2006), 354–370; Algebra and Logic, 45:3 (2006), 201–209
Citation in format AMSBIB
\Bibitem{Fro06}
\by A.~N.~Frolov
\paper $\Delta_2^0$-Copies of Linear Orderings
\jour Algebra Logika
\yr 2006
\vol 45
\issue 3
\pages 354--370
\mathnet{http://mi.mathnet.ru/al149}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2289093}
\zmath{https://zbmath.org/?q=an:1115.03047}
\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 3
\pages 201--209
\crossref{https://doi.org/10.1007/s10469-006-0017-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33745614617}
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    • This publication is cited in the following 30 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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    Abstract page:262
    Full-text PDF :85
    References:40
    First page:2
     
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