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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 687–690
(Mi smj2355)
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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
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
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
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https://www.mathnet.ru/eng/smj2355 https://www.mathnet.ru/eng/smj/v53/i3/p687
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Abstract page: | 240 | Full-text PDF : | 58 | References: | 45 |
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