The rational field is not universally definable in pseudo-exponentiation

Jonathan Kirby

Fundamenta Mathematicae (2016)

  • Volume: 232, Issue: 1, page 79-88
  • ISSN: 0016-2736

Abstract

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We show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field.

How to cite

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Jonathan Kirby. "The rational field is not universally definable in pseudo-exponentiation." Fundamenta Mathematicae 232.1 (2016): 79-88. <http://eudml.org/doc/282737>.

@article{JonathanKirby2016,
abstract = {We show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field.},
author = {Jonathan Kirby},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {1},
pages = {79-88},
title = {The rational field is not universally definable in pseudo-exponentiation},
url = {http://eudml.org/doc/282737},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Jonathan Kirby
TI - The rational field is not universally definable in pseudo-exponentiation
JO - Fundamenta Mathematicae
PY - 2016
VL - 232
IS - 1
SP - 79
EP - 88
AB - We show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field.
LA - eng
UR - http://eudml.org/doc/282737
ER -

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