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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 687–690 (Mi smj2355)  

This article is cited in 6 scientific papers (total in 6 papers)

On a universal $\Sigma$-function over a tree

A. N. Khisamiev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (269 kB) Citations (6)
References:
Abstract: We obtain a sufficient condition for the absence of any universal $\Sigma$-function in an admissible set (a hereditarily finite admissible set). We construct a tree $T$ of height 4 such that no universal $\Sigma$-function exists in the hereditarily finite admissible set $\mathbb{HF}(T)$ over $T$.
Keywords: admissible set, $\Sigma$-function, universal $\Sigma$-function, hereditarily finite admissible set, tree.
Received: 30.05.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 3, Pages 551–553
DOI: https://doi.org/10.1134/S0037446612020358
Bibliographic databases:
Document Type: Article
UDC: 512.540+510.5
Language: Russian
Citation: A. N. Khisamiev, “On a universal $\Sigma$-function over a tree”, Sibirsk. Mat. Zh., 53:3 (2012), 687–690; Siberian Math. J., 53:3 (2012), 551–553
Citation in format AMSBIB
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\paper On a~universal $\Sigma$-function over a~tree
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\pages 687--690
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\pages 551--553
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  • https://www.mathnet.ru/eng/smj/v53/i3/p687
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:240
    Full-text PDF :58
    References:45
     
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