Brian Chan

Lattice theory is the study of an intriguing class of partially ordered sets known as lattices. Within this subject, there are many hard open problems. One such problem is to determine which countable lattices are sublattices of free lattices. In...

In this talk, we consider families of finite sets that we call shellable and that have been characterized by Chang and Hirst and Hughes as being the families of sets that admit unique solutions to Hall's matching problem. We prove that shellable...