The surreal numbers as a universal H-field
classification
🧮 math.LO
math.CAmath.RA
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fieldberarducci-mantovaderivationembeddingnumberssurrealconwaydifferential
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We show that the natural embedding of the differential field of transseries into Conway's field of surreal numbers with the Berarducci-Mantova derivation is an elementary embedding. We also prove that any Hardy field embeds into the field of surreals with the Berarducci-Mantova derivation.
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