Spherically complete models of Hensel minimal valued fields

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Mathematical Logic Quarterly

سال: 2023

ISSN: ['0942-5616', '1521-3870']

DOI: https://doi.org/10.1002/malq.202100055