Lipschitz extensions of definable p -adic functions
نویسندگان
چکیده
منابع مشابه
Extension of P-adic Definable Lipschitz Functions
Write OK for the valuation ting, MK for the maximal ideal of K and kK for the residue field. Let us fix $ some uniformizer of K. We denote by acm : K → OK/(MK) the map sending some nonzero x ∈ K to x$−ord(x) mod MK , and sending zero to zero. This is a definable map. We denote by RV the union of K×/(1 +MK) and {0} and by rv : K → RV the quotient map. More generally, if m ∈ N∗, we set RVm = K×/(...
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ژورنال
عنوان ژورنال: Mathematical Logic Quarterly
سال: 2015
ISSN: 0942-5616
DOI: 10.1002/malq.201400014