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Preprint Number 1793

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1793. Erik Walsberg
A P-adic structure which does not interpret an infinite field but whose Shelah completion does

Submission date: 30 May 2020


We give a p-adic example of a structure whose Shelah completion interprets ℚ_p but which does not (provided an extremely plausible conjecture holds) interpret an infinite field. In the final section we discuss the significance of such examples for a possible future geometric theory of NIP structures.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 2006.00137: pdf, ps.

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