Cell decomposition and definable functions for weak p-adic structures

2012/05/18 by Eva Leenknegt, Leenknegt, Eva
Mathematics · #03C07 #03c10 #03c64 #11u09 #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #FOS: Mathematics #Logic (math.LO) #advanced mathematical theories #math.LO #msc:03C07 #msc:03c10 #msc:03c64 #msc:11u09

paper · pdf · doi:10.48550/arxiv.1205.4170

22 pages

arxiv created 2012/05/18 · openalex publication_date 2012/05/18 · arxiv updated 2012/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a notion of cell decomposition suitable for studying weak p- adic structures (reducts of p-adic fields where addition and multiplication are not (everywhere) definable). As an example, we apply this to a language with restricted addition.

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