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arXiv · 0810.4285

Exponential algebraicity in exponential fields

Jonathan Kirby
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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.

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Jonathan Kirby. 2008-11-10. Exponential algebraicity in exponential fields. https://doi.org/10.1112/blms%2Fbdq044

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