1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.LO2022
Rank axioms and supersimplicity
Santiago Cárdenas-Martín, Rafel Farré
Just as Lascar's notion of abstract rank axiomatizes the U-rank, we propose axioms for the ranks and , the foundation ranks of dividing and forking. We study the relat…
math.LO2020★ 1 cited
Foundation ranks and supersimplicity
Santiago Cárdenas-Martín, Rafel Farré
We introduce a new foundation rank based in the relation of dividing between partial types. We call DU to this rank. We also introduce a new way to define the D rank over formulas…
math.LO2019★ 1 cited
A rank based on Shelah trees
Santiago Cárdenas-Martín, Rafel Farré
We define a global rank for partial types based in a generalization of Shelah trees. We prove an equivalence with the depth of a localized version of the constructions known as div…