Preprint Article Version 1 This version is not peer-reviewed

On The Model Of Hyperrational Numbers With Selective Ultralter

Version 1 : Received: 27 February 2019 / Approved: 28 February 2019 / Online: 28 February 2019 (12:57:15 CET)

How to cite: Grigoryants, A. On The Model Of Hyperrational Numbers With Selective Ultralter. Preprints 2019, 2019020273 (doi: 10.20944/preprints201902.0273.v1). Grigoryants, A. On The Model Of Hyperrational Numbers With Selective Ultralter. Preprints 2019, 2019020273 (doi: 10.20944/preprints201902.0273.v1).

Abstract

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

Subject Areas

Hyperrational number, selective ultrafilter, non-standard analysis, ultrapower

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