Exponential algebraicity in exponential fields

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Abstract

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.
Original languageEnglish
Pages (from-to)879-890
Number of pages12
JournalBulletin of the London Mathematical Society
Volume42
Issue number5
DOIs
Publication statusPublished - 2010

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