# Stratifications in valued fields

• ### Immanuel Halupczok

University of Leeds, United Kingdom

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## Abstract

In these notes a new, strong notion of stratifications which describe singularities of sets in Henselian valued fields is given. The first part presents the definition, some examples, and the main result about their existence. The second part explains how such a stratification in a valued field induces a classical Whitney stratification in $\mathbb{R}$.