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A density property of Henselian valued fields
Published 19 Dec 2016 in math.AG | (1612.06298v3)
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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