Parametrized Diamond Principles
Iian Smythe, Rutgers University
Location: Hill 705
Date & time: Monday, 30 September 2019 at 5:00PM - 6:00PM
Abstract: In their 2004 paper, Moore, Hrusak and Dzamonja isolated a weakening of Jensen's diamond principle that could be "parametrized" by a cardinal invariant, implies that the corresponding invariant is small, and yet is consistent with the failure of the Continuum Hypothesis. Moreover, these principles fully determine many cardinal invariants in "canonical" models, those obtained by iterations of definable proper forcings. I will give a survey of this subject, including a recent application to a problem in linear algebra.