An example of a P-minimal structure without definable Skolem functions
classification
🧮 math.LO
math.NT
keywords
minimaldefinablefunctionsskolemstructuresthereadmitcell
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We show there are intermediate $P$-minimal structures between the semi-algebraic and sub-analytic languages which do not have definable Skolem functions. As a consequence, by a result of Mourgues, this shows there are $P$-minimal structures which do not admit classical cell decomposition.
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