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The News of Altai State University
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Mathematics and Computer Science
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Mathematics and Computer Science

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S.V. Dronov

On the terminal equivalent cuts of N in AST

We work in the Alternative Set Theory. Let us fix some set-defined sequence. Two cuts of N we call terminal equivalent, if our sequence has the same limits with a respect to both of them. The aim of the work is to get conditions on a cut of N, under which this cut permits nontrivial #shifting#, preserving terminal equivalence, i.e. we can slightly enlarge or slightly diminish it with all proper cuts between two so obtained horizons be terminal equivalent.

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