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math.LO2015★ 5 cited
Topological cell decomposition and dimension theory in P-minimal fields
Pablo Cubides-Kovacsics, Luck Darnière, Eva Leenknegt
This paper addresses some questions about dimension theory for P-minimal structures. We show that, for any definable set A, the dimension of the frontier of A is strictly smaller t…
math.LO2015
Integration and Cell Decomposition in -minimal Structures
Pablo Cubides Kovacsics, Eva Leenknegt
We show that the class of -constructible functions is closed under integration for any -minimal expansion of a -adic field . This generalizes re…