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Cite Publication Date: Jun 17, 2010 | |
 Citations: 29 |
Affiliation: University of East Anglia
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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