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On a universal Σ-function over a tree

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Abstract

We obtain a sufficient condition for the absence of any universal Σ-function in an admissible set (a hereditarily finite admissible set). We construct a tree T of height 4 such that no universal Σ-function exists in the hereditarily finite admissible set ℍ\(\mathbb{F} \)(T) over T.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. N. Khisamiev

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  1. A. N. Khisamiev
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Correspondence to A. N. Khisamiev.

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Original Russian Text Copyright © 2012 Khisamiev A. N.

The author was supported by the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-276.2012.1).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 3, pp. 687–690, May–June, 2012.

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Khisamiev, A.N. On a universal Σ-function over a tree. Sib Math J 53, 551–553 (2012). https://doi.org/10.1134/S0037446612020358

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  • DOI: https://doi.org/10.1134/S0037446612020358

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