3 papers
math.LO2005
A partition theorem for a large dense linear order
M. Dzamonja, J. Larson, W. Mitchell
Let Q_K=(Q,<_Q)$ be a strongly K-dense linear order of size K for a suitable cardinal K. We prove, for all integers m > 1 that there is a finite value t_m^+ such that the set of al…
math.LO2004
Diamond (on the regulars) can fail at any strongly unfoldable cardinal
Joel David Hamkins, Mirna Džamonja
If kappa is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which Diamond_kappa(REG) fails. This result continues the progression of the correspo…
math.LO2001
Universal graphs at the successor of a singular cardinal
Mirna Džamonja, Saharon Shelah
The paper is concerned with the existence of a universal graph at the successor of a strong limit singular mu of cofinality aleph_0. Starting from the assumption of the existence o…