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On Universal Functions in Hereditarily Finite Superstructures
Abstract We obtain the necessary and sufficient condition for existence of a universal $$\Sigma $$ -function in the hereditarily finite superstructure over a structure. We apply this condition to various well-known classes of structures.
期刊介绍:
Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.