These two areas are not unrelated. Most recently I have been looking at almost disjoint families of integers and the Boolean algebras they generate. If you are interested in similiar things, you might want to check out Topology Atlas or Logic EPrints . The combinatorics of sub-Ostaszewski spaces, to appear in Topology Proceedings . More homogeneous almost disjoint families, to appear in Algebra Universalis .
Infinity goes up on trial.