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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…
math.LO2014
Gowers' Ramsey Theorem with multiple operations and dynamics of the homeomorphism group of the Lelek fan
Dana Bartošová, Aleksandra Kwiatkowska
We generalize the finite version of Gowers' Ramsey theorem to multiple tetris-like operations and apply it to show that a group of homeomorphisms that preserve a "typical" linear o…