We prove that in a P-minimal structure, every definable set can be partitioned as a finite union of classical cells and regular clustered cells.

Dec 8, 2016 · We prove that in a P-minimal structure, every definable set can be partitioned as a finite union of classical cells and regular clustered cells.

We prove that in a $P$-minimal structure, every definable set can be partitioned as a finite union of classical cells and regular clustered cells.

In the paper Clustered cell decomposition in P-minimal structures [1], we proved a cell decomposition theorem for general P-minimal structures (without the ...

Article Dans Une Revue Annals of Pure and Applied Logic Année : 2017. Clustered cell decomposition in P -minimal structures.

The idea of p-adic cell decomposition was first developed by Denef, for p-adic semi-algebraic structures, as a tool to answer certain questions regarding ...

Clustered cell decomposition in P-minimal structures. · Topological cell decomposition and dimension theory in p-minimal fields. · B-minimality. · SCE-Cell ...

Jul 18, 2016 · We show that the class of -constructible functions is closed under integration for any P-minimal expansion of a p-adic field

Clustered cell decomposition in P-minimal structures.Saskia Chambille, Pablo Cubides Kovacsics & Eva Leenknegt - 2017 - Annals of Pure and Applied Logic 168 ...

We prove that for p-optimal fields (a very large subclass of p-minimal fields containing all the known examples) a cell decomposition theorem follows from ...