Publications > Preprint server > Preprint Number 143
Preprint Number 143
143. Jonathan Kirby
Exponential algebraicity in exponential fields
Submission date: 14 November 2008.
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.
Mathematics Subject Classification: 03C60
Keywords and phrases:
|Last updated: November 17 2008 10:14||Please send your corrections to:|