4 papers
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…
On middle box products and paracompact cardinals
David Buhagiar, Mirna Džamonja
The paper gives several sufficient conditions on the paracompactness of box products with an arbitrary number of many factors and boxes of arbitrary size. The former include result…
On triangleleft^*-maximality
Mirna Džamonja, Saharon Shelah
This paper investigates a connection between the ordering triangleleft^ast among theories in model theory and the (N)SOP_n hierarchy of Shelah. It introduces two properties which a…
On squares, outside guessing of clubs and I_{<f}[lambda]
Mirna Džamonja, Saharon Shelah
Suppose that lambda = mu^+. We consider two aspects of the square property on subsets of lambda. First, we have results which show e.g. that for aleph_0 <= kappa =cf (kappa)< mu, t…