p-adic域上半仿射结构的胞腔剖分
Cell decomposition for semi-affine structures on p-adic fields
摘要:
利用胞腔剖分技术研究p- adic域的可加约简.我们考虑一类非常普遍的领域,包括领域与无限剩余域,我们研究使用多排序语言。结果被用来获得有限剩余域情况下的胞腔剖分结果。我们不要求域是亨塞尔的,我们允许它们具有任何特征。
英文摘要:
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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