# Ryan Holben: Separating Square Principles at a Singular Cardinal

Separating Square Principles at a Singular Cardinal
Ryan Holben
Mon Jun 3, 2013
4:00 pm
Starting with a cardinal which is both subcompact and measurable, we produce a model in which $\square_{\kappa,2}$ holds but $\square_\kappa$ fails at a singular cardinal $\kappa$. We will discuss several of the essential tools used, and also several ways in which this result may be extended.