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The News of Altai State University
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Content of 1(23) 2002
Mathematics and Computer Science
Physics
 
1(23)2002
Mathematics and Computer Science

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S.V. Dronov

Counterexamples connected with horizon shifting in AST

Within the dynamic alternative sets theory a problem frequently arises: can we find a father horizon, having some proper characteristics, for example, such one, that is still closed with a respect to some set-definable operation, or permits to continue some sequence on it without losing its set-theoretical properties. The paper contains some useful examples of the cases, when such a horizon does not exist.

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