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arXiv · 1612.06298

A density property of Henselian valued fields

Krzysztof Jan Nowak
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Abstract

We give an elementary proof of a version of the implicit function theorem over Henselian valued fields $K$. It yields a density property for such fields (introduced in a joint paper with J. Koll{\'a}r), which is indispensable for ensuring reasonable topological and geometric properties of algebraic subsets of $K^{n}$.

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Krzysztof Jan Nowak. 2016-12-19. A density property of Henselian valued fields. https://arxiv.org/abs/1612.06298

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