Cell decomposition for semi-affine structures on p-adic fields

2011/11/14 by Eva Leenknegt, Leenknegt, Eva
Mathematics · #03C07 #03C10 #03C64 #11U09 #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03C07 #msc:03C10 #msc:03C64 #msc:11U09

paper · pdf · doi:10.48550/arxiv.1111.3379

22 pages

arxiv created 2012/05/17 · arxiv updated 2012/05/21

Abstract

We use cell decomposition techniques to study additive reducts of p- adic fields. We consider a very general class of fields, including fields with infinite residue fields, which we study using a multi-sorted language. The results are used to obtain cell decomposition results for the case of finite residue fields. We do not require fields to be Henselian, and we allow them to be of any characteristic.

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