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math.LO2002
Grothendieck rings of Laurent series fields
Raf Cluckers
We study Grothendieck rings (in the sense of logic) of fields. We prove the triviality of the Grothendieck rings of certain fields by constructing definable bijections which imply…
math.LO2002
Presburger sets and p-minimal fields
Raf Cluckers
We prove a cell decomposition theorem for Presburger sets and introduce a dimension theory for Z-groups with the Presburger structure. Using the cell decomposition theorem we obtai…