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arXiv · 2109.08619

Spherically complete models of Hensel minimal valued fields

David Bradley-Williams·Immanuel Halupczok
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Abstract

We prove that Hensel minimal expansions of finitely ramified Henselian valued fields admit spherically complete immediate elementary extensions. More precisely, the version of Hensel minimality we use is $0$-hmix-minimality (which, in equi-characteristic $0$, amounts to $0$-h-minimality).

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David Bradley-Williams, Immanuel Halupczok. 2021-09-17. Spherically complete models of Hensel minimal valued fields. https://doi.org/10.1002/malq.202100055

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