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math.LO2022
Big Ramsey Degrees in Ultraproducts of Finite Structures
Dana Bartošová, Mirna Džamonja, Rehana Patel +1
We develop a transfer principle of structural Ramsey theory from finite structures to ultraproducts. We show that under certain mild conditions, when a class of finite structures h…
math.LO2022
A new perspective on semi-retractions and the Ramsey property
Dana Bartošová, Lynn Scow
We investigate the notion of a semi-retraction between two first order structures (in typically different signatures) that was introduced by the second author as a link between the…