Exponential algebraicity in exponential fields

Exponential algebraicity in exponential fields

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.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2010-10, Vol.42 (5), p.879-890
1. Verfasser: Kirby, Jonathan
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms/bdq044