Exponential algebraicity in exponential fields

Details Exponential algebraicity in exponential fields Exponential algebraicity in exponential fields

2008-10-23

arxiv.org/abs/0810.4285v2

Bull. Lond. Math. Soc. 42 (2010), no. 5, 879-890

Mathematics

Logic

12 pages; v2 minor change to proof of lemma 6.2

Scientific paper

10.1112/blms/bdq044

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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