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This article is cited in 7 scientific papers (total in 7 papers)
$\Sigma$-uniform structures and $\Sigma$-functions. I
A. N. Khisamiev Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Abstract:
The concept of a $\Sigma$-uniform structure is introduced. A condition is derived which is necessary and sufficient for a universal $\Sigma$-function to exist in a hereditarily finite admissible set over a $\Sigma$-uniform structure.
Keywords:
hereditarily finite admissible set, $\Sigma$-definability, universal $\Sigma$-function, $\Sigma$-uniform structure.
Received: 24.11.2010 Revised: 05.06.2011
Citation:
A. N. Khisamiev, “$\Sigma$-uniform structures and $\Sigma$-functions. I”, Algebra Logika, 50:5 (2011), 659–684; Algebra and Logic, 50:5 (2011), 447–465
Linking options:
https://www.mathnet.ru/eng/al507 https://www.mathnet.ru/eng/al/v50/i5/p659
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