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Algebra i logika, 2014, Volume 53, Number 3, Pages 340–371 (Mi al639)  
This article is cited in 5 scientific papers (total in 5 papers)

$\Sigma$-presentations of the ordering on the reals

A. S. Morozovab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
Full-text PDF (320 kB) Citations (5)
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Abstract: We prove the nonexistence of universal $\Sigma$-presentable linear orderings as well as the effective infinity of the class of $\Sigma$-presentations of the natural order on $\mathbb R$ over an admissible set $\mathbb{HF(R)}$.
Keywords: $\Sigma$-presentation, ordering on reals, admissible set.
Received: 10.10.2012
Revised: 13.03.2014
English version:
Algebra and Logic, 2014, Volume 53, Issue 3, Pages 217–237
DOI: https://doi.org/10.1007/s10469-014-9285-6
Bibliographic databases:
Document Type: Article
UDC: 510.65
Language: Russian
Citation: A. S. Morozov, “$\Sigma$-presentations of the ordering on the reals”, Algebra Logika, 53:3 (2014), 340–371; Algebra and Logic, 53:3 (2014), 217–237
Citation in format AMSBIB
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\by A.~S.~Morozov
\paper $\Sigma$-presentations of the ordering on the reals
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\yr 2014
\vol 53
\issue 3
\pages 340--371
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\issue 3
\pages 217--237
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    • This publication is cited in the following 5 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:51
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