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math.LO2026
Strong stratifications and uniform Yomdin-Gromov parametrizations in valued fields with analytic structure
Krzysztof Jan Nowak
The paper concerns uniform Yomdin-Gromov parametrizations together with an estimate of their number, which generalizes a theorem by Cluckers-Forey-Loeser to arbitrary equicharacter…
math.LO2026
About closed subsets definable in Hensel minimal structures
Krzysztof Jan Nowak
The main purpose is to establish two theorems about closed 0-definable subsets of an affine space over a Hensel minimal field . The first, being a non-Archimedean co…
math.LO2026
Extension of Lipschitz maps definable in Hensel minimal structures
Krzysztof Jan Nowak
In this paper, we establish a theorem on extension of Lipschitz maps definable in Hensel minimal fields . This may be regarded as a definable, non-Archimedean, non-locally c…