5 papers
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…
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…
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…
A Lorentzian FRG Investigation of the Quasi-Static Weak-Field Infrared Limit of Gravity
Krzysztof Nowak
A common assumption in the Effective Field Theories of gravity is that their quasi-static weak-field infrared limit yields the well-known second-order Poisson operator. We examine…
Tame topology in Hensel minimal structures
Krzysztof Jan Nowak
We are concerned with topology of Hensel minimal structures on non-trivially valued fields , whose axiomatic theory was introduced in a recent paper by Cluckers-Halupczok-Rideau…