Non-archimedean Yomdin-Gromov parametrizations and points of bounded height

R. Cluckers, G. Comte, F. Loeser

We prove an analogue of the Yomdin-Gromov Lemma for $p$-adic definable sets and more broadly in a non-archimedean, definable context. This analogue keeps track of piecewise approxi…