most citedClustered Cell Decomposition in P-Minimal Structures

2 citations · 2 across the 3 of their papers we have counts for

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3 papers

math.LO2016★ 2 cited

Clustered Cell Decomposition in P-Minimal Structures

Saskia Chambille, Pablo Cubides Kovacsics, Eva Leenknegt

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

math.LO2012

Cell Decomposition for semibounded p-adic sets

Eva Leenknegt

We study a reduct L\ast of the ring language where multiplication is restricted to a neighbourhood of zero. The language is chosen such that for p-adically closed fields K, the L\a…

math.LO2012

Cell decomposition and definable functions for weak p-adic structures

Eva Leenknegt

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).…