Set Theory and Logic


On The Model Of Hyperrational Numbers With Selective Ultrafilter

Authors: Armen Grigoryants

In standard construction of hyperrational numbers using ultrapower we assume that the ultrafilter is selective. It makes possible to assign real value to any finite hyperrational number. So, we can consider hyperrational numbers with selective ultrafilter as extension of traditional real numbers. Also proved the existence of strictly monotonic or stationary representing sequence for any hyperrational number.

Comments: 6 Pages.

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Submission history

[v1] 2019-02-26 23:58:12

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