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arXiv · 1806.10026

Pseudofinite difference fields and counting dimensions

Tingxiang Zou
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Abstract

We study a family of ultraproducts of finite fields with the Frobenius automorphism in this paper. Their theories have the strict order property and TP2. But the coarse pseudofinite dimension of the definable sets is definable and integer-valued. Moreover, we also discuss the possible connection between coarse dimension and transformal transcendence degree in these difference fields.

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Tingxiang Zou. 2018-06-26. Pseudofinite difference fields and counting dimensions. https://doi.org/10.1142/s0219061320500221

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