| Περίληψη: |
We give a characterization of finitely ramified |$\omega$| -pseudo complete valued fields of mixed characteristic |$(0,p)$| , with fixed residue field k and value group G of cardinality |$\aleph _{1}$| in terms of a Hahn-like construction over the Cohen field |$C(k)$| , modulo the Continuum Hypothesis. This is a generalization of results due to Ax and Kochen in '65 for formally p -adic fields and by Kochen in '74 for unramified valued fields with perfect residue field. We consider a more general context of finitely ramified valued fields of mixed characteristic with arbitrary residue field and a cross-section. [ABSTRACT FROM AUTHOR] |