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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
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