Burden in Henselian Valued Fields

Pierre Touchard

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arXiv · 1811.08756

Burden in Henselian Valued Fields

Pierre Touchard

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Abstract

In the spirit of the Ax-Kochen-Ershov principle, we show that in certain cases the burden of a Henselian valued field can be computed in terms of the burden of its residue field and that of its value group. To do so, we first see that the burden of such a field is equal to the burden of its RV-sort. These results are generalisations of a work of Chernikov and Simon.

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Pierre Touchard. 2018-11-21. Burden in Henselian Valued Fields. https://arxiv.org/abs/1811.08756

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