Exponential algebraicity in exponential fields
Logic
2011-08-05 v2 Number Theory
Abstract
I give an algebraic proof that the exponential algebraic closure operator in an exponential field is always a pregeometry, and show that its dimension function satisfies a weak Schanuel property. A corollary is that there are at most countably many essential counterexamples to Schanuel's conjecture.
Cite
@article{arxiv.0810.4285,
title = {Exponential algebraicity in exponential fields},
author = {Jonathan Kirby},
journal= {arXiv preprint arXiv:0810.4285},
year = {2011}
}
Comments
12 pages; v2 minor change to proof of lemma 6.2