Abstract
Following the introduction and preliminary investigations of analytic Zariski structures in Peatfield and Zilber (Ann pure Appl Logic 132:125–180, 2005) an example of an analytic Zariski structure extending an algebraically closed field is provided. The example is constructed using Hrushovski’s method of free amalgamation, and a topology is introduced in which we can verify the analytic Zariski axioms.
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Peatfield, N. An Analytic Zariski Structure Over a Field. Arch. Math. Logic 45, 739–768 (2006). https://doi.org/10.1007/s00153-006-0007-1
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DOI: https://doi.org/10.1007/s00153-006-0007-1