Real Closed Exponential Subfields of Pseudoexponential Fields

Details Real Closed Exponential Subfields of Pseudoexponential Fields Real Closed Exponential Subfields of Pseudoexponential Fields

2011-12-20

arxiv.org/abs/1112.4784v1

Mathematics

Logic

Scientific paper

In this paper, we prove that a pseudoexponential field has continuum many
non-isomorphic countable real closed exponential subfields, each with an order
preserving exponential map which is surjective onto the nonnegative elements.
Indeed, this is true of any algebraically closed exponential field satisfying
Schanuel's conjecture.

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