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The News of Altai State University
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S.V. Dronov

Generalization of the Notion of Compact Relation Connected with Horizon Shifting in AST

This work is carried out in the alternative set theory (AST). We propose a generalization of the notion of indescernibility relation in the situation when the main horizon of the finite natural numbers is replaced by some wider additive cut. Mostly our attention is concentrated on the generalized compactness of relations and its application to some new relation defined on the family of the measurable subclasses of a sufficiently large set.
Key words: indescernibility, compact relation, measurable subclasses.

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