A Note on Schanuel's Conjectures for Exponential Fields

Details A Note on Schanuel's Conjectures for Exponential Fields A Note on Schanuel's Conjectures for Exponential Fields

2012-04-02

arxiv.org/abs/1204.0498v1

Mathematics

Logic

2 pages

Scientific paper

We apply a result of J. Ax [On Schanuel's Conjectures, Annals of Mathematics 93 (1971), 252-268] to differential valued exponential fields. In particular, we establish Schanuel's conjecture regarding the transcendence degree of subfields of the Logarithmic-Exponential series field [Logarithmic-Exponential series by L. van den Dies, A. Macintyre, and D. Marker, Ann. Pure Appl. Logic 111 (2001), 61-113.]

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