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JOURNALS
// Matematicheskie Trudy
// Archive
Mat. Tr.,
2021
Volume 24,
Number 2,
Pages
160–180
(Mi mt656)
On universal functions in hereditarily finite superstructures
A. N. Khisamiev
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
We obtain the necessary and sufficient condition for the existence of an universal
$\Sigma$
-function in the hereditarily finite superstructure. We show the application of this criterion to various well-known classes of structures.
Key words:
hereditarily finite superstructure,
$\Sigma_{\omega}$
-bounded structure, universal
$\Sigma$
-function,
$\Sigma_f$
-bounded structure.
UDC:
512.540+
510.5
Received:
18.02.2021
Revised:
21.07.2021
Accepted:
30.08.2021
DOI:
10.33048/mattrudy.2021.24.210
Fulltext:
PDF file (288 kB)
References
©
Steklov Math. Inst. of RAS
, 2024