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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. https://doi.org/10.20944/preprints201902.0273.v1 Grigoryants, A. On The Model Of Hyperrational Numbers With Selective Ultralter. Preprints 2019, 2019020273. https://doi.org/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.
Keywords
Hyperrational number, selective ultrafilter, non-standard analysis, ultrapower
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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