Erratum to "Fields of surreal numbers and exponentiation" (Fund. Math. 167 (2001), 173-188)
Lou van den Dries, Philip Ehrlich (2001)
Fundamenta Mathematicae
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Displaying similar documents to “Some results about exponential fields (survey)”
Erratum to "Fields of surreal numbers and exponentiation" (Fund. Math. 167 (2001), 173-188)
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We characterize the unsolvable exponential polynomials over the exponential fields introduced by Zilber, and deduce Picard's Little Theorem for such fields.
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Fields of surreal numbers and exponentiation
Lou van den Dries, Philip Ehrlich (2001)
Fundamenta Mathematicae
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We show that Conway's field of surreal numbers with its natural exponential function has the same elementary properties as the exponential field of real numbers. We obtain ordinal bounds on the length of products, reciprocals, exponentials and logarithms of surreal numbers in terms of the lengths of their inputs. It follows that the set of surreal numbers of length less than a given ordinal is a subfield of the field of all surreal numbers if and only if this ordinal is an ε-number....