Scientific journal "The News of Altai State University". 2002 #1(23). Mathematics and Computer Science.

Scientific journal of the
theoretical and applied
researches

Print ISSN 1561-9443
On-line ISSN 1561-9451

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		Mathematics and Computer Science
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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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