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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 703–716
DOI: https://doi.org/10.33048/smzh.2020.61.319 (Mi smj6014) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Universal functions and $k\sigma$-structures

A. N. Khisamiev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2020.61.319
Abstract: We introduce the concept of $K\Sigma$-structure and prove the existence of a universal $\Sigma$-function in the hereditarily finite superstructure over this structure. We exhibit some examples of families of $K\Sigma$-structures of the theory of trees.
Keywords: hereditarily finite superstructure, universal $\Sigma$-function, $K\Sigma$-structure, tree.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0003
The author was funded within the Government Task to the Sobolev Institute of Mathematics (Project 0314-2019-0003).
Received: 10.12.2018
Revised: 18.02.2020
Accepted: 19.02.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 552–562
DOI: https://doi.org/10.1134/S0037446620030192
Bibliographic databases:
Document Type: Article
UDC: 512.540+510.5
Language: Russian
Citation: A. N. Khisamiev, “Universal functions and $k\sigma$-structures”, Sibirsk. Mat. Zh., 61:3 (2020), 703–716; Siberian Math. J., 61:3 (2020), 552–562
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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