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arXiv · 1605.00945

An example of a $P$-minimal structure without definable Skolem functions

Pablo Cubides Kovacsics·Kien Huu Nguyen
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Abstract

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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BibTeXRIS

Pablo Cubides Kovacsics, Kien Huu Nguyen. 2016-05-03. An example of a $P$-minimal structure without definable Skolem functions. https://doi.org/10.1017/jsl.2016.58

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