# Fields with analytic structure

```@article{Cluckers2009FieldsWA,
title={Fields with analytic structure},
author={R. Cluckers and L. Lipshitz},
journal={Journal of the European Mathematical Society},
year={2009},
volume={13},
pages={1147-1223}
}```
• Published 2009
• Mathematics
• Journal of the European Mathematical Society
We present a unifying theory of fields with certain classes of analytic functions, called fields with analytic structure. Both real closed fields and Henselian valued fields are considered. For real closed fields with analytic structure, o-minimality is shown. For Henselian valued fields, both the model theory and the analytic theory are developed. We give a list of examples that comprises, to our knowledge, all principle, previously studied, analytic structures on Henselian valued fields, as… Expand
65 Citations
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• Journal of the Institute of Mathematics of Jussieu
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