On Holographic Structures


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Abstract

We introduce and study the class of holographic models which can be defined by copying of some of its finite parts by means of automorphisms. We prove this class to differ from the class of countably categorical models. Characterizations of the classes of holographic Boolean algebras, abelian groups, linear orderings, fields, and equivalences are given.

About the authors

B. Kasymkhanuly

L. N. Gumilev National University

Author for correspondence.
Email: boribay@mail.ru
Kazakhstan, Astana

A. S. Morozov

Sobolev Institute of Mathematics

Author for correspondence.
Email: morozov@math.nsc.ru
Russian Federation, Novosibirsk

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