Exponential algebraicity in exponential fields

By Jonathan Kirby. 2008

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The exponential algebraic closure operator in an exponential field is always a pregeometry and its dimension function satisfies a weak Schanuel property. It follows that there are at most countably many essential counterexamples to Schanuel's conjecture.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/77ba3588ad96064fce76cac3cff376fcfdcea2e2