On the separability of elements and sets in hypergraphs of models of a theory
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Вестник Карагандинского университета
Abstract
We consider topological properties of hypergraphs of models of a theory. The separability of
elements in
these hypergraphs is characterized in terms of algebraic closures. Similarly we specify the
separability of sets by the hypergraphs. The separability of finite sets is characterized for
special hypergraphs defined by
limit models as well as by countable models which are neither almost prime nor limit.