Excellence and uncountable categoricity of Zilber's exponential fields

2013/05/02 by Bays, Martin, Kirby, Jonathan
#03C65 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1305.0493

Abstract

We prove that Zilber's class of exponential fields is quasiminimal excellent and hence uncountably categorical, filling two gaps in Zilber's original proof.

Related

• On Zilber's field
• A special case of quasiminimality
• Analytic continuation and Zilber's quasiminimality conjecture
• Involutions on Zilber fields
• Henson and Rubel's Theorem for Zilber's Pseudoexponentiation