We show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-1-6,
author = {Jonathan Kirby},
title = {The rational field is not universally definable in pseudo-exponentiation},
journal = {Fundamenta Mathematicae},
volume = {233},
year = {2016},
pages = {79-88},
zbl = {06497295},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-1-6}
}
Jonathan Kirby. The rational field is not universally definable in pseudo-exponentiation. Fundamenta Mathematicae, Tome 233 (2016) pp. 79-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-1-6/