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The News of Altai State University
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Content of 1(39) 2006
Mathematics and Computer Science
Physics
 
1(39)2006
Mathematics and Computer Science

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S.V. Dronov

On a construction of the limit universal sequence

Let * be a set-defined operation on N and consider *-closed cuts of N as horizons. We try to construct such a sequence that every horizon, preserving its limit, automatically preserves limits of all set-defined sequences, in the technique of alternative set theory. The main result is that such a construction is possible if and only if the starting horizon was a left-handed coast of some *-gap. The only possible universal horizon so is a right-handed coast of the same gap.

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